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Articles de revues sur le sujet « Transcendente functies »

Auteur : Grafiati

Publié le 4 juin 2021

Mis à jour le 27 juillet 2025

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1

Ulanov, Ann Belford. "Transference, the transcendent function, and transcendence." Journal of Analytical Psychology 42, no. 1 (2008): 119–38. http://dx.doi.org/10.1111/j.1465-5922.1997.00119.x.

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COONS, MICHAEL. "THE TRANSCENDENCE OF SERIES RELATED TO STERN'S DIATOMIC SEQUENCE." International Journal of Number Theory 06, no. 01 (2010): 211–17. http://dx.doi.org/10.1142/s1793042110002958.

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We prove various transcendence results regarding the Stern sequence and related functions; in particular, we prove that the generating function of the Stern sequence is transcendental. Transcendence results are also proven for the generating function of the Stern polynomials and for power series whose coefficients arise from some special subsequences of Stern's sequence.

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3

Donev, Georgi. "Metaphysical Thinking as Transcendence." Filosofiya-Philosophy 31, no. 4 (2022): 307–15. http://dx.doi.org/10.53656/phil2022-04-01.

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The article aims to substantiate the genesis of consciousness and self-consciousness through metaphysical thinking. Metaphysical thinking is explicated as a transcendence that a priori determines every possible object of consciousness. In this sense, metaphysical thinking determines a priori the unity of existence. Existence is explicated as a unity of the interpretive models of consciousness. Thus, metaphysical thinking is seen as a function of the transcendent unity that is the a priori truth of the consciousness’ genesis. The logical relation between metaphysical thinking and consciousness

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Humphrey, Virginia, and Beth Barmack. "Transcendence, transmission and transformation: the transcendent function in infant observation." Journal of Analytical Psychology 55, no. 3 (2010): 321–38. http://dx.doi.org/10.1111/j.1468-5922.2010.01846.x.

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5

Li, Peng, Hongyi Jin, Wei Xi, Changbao Xu, Hao Yao, and Kai Huang. "A Reconfigurable Hardware Architecture for Miscellaneous Floating-Point Transcendental Functions." Electronics 12, no. 1 (2023): 233. http://dx.doi.org/10.3390/electronics12010233.

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Transcendental functions are an important part of algorithms in many fields. However, the hardware accelerators available today for transcendental functions typically only support one such function. Hardware accelerators that can support miscellaneous transcendent functions are a waste of hardware resources. In order to solve these problems, this paper proposes a reconfigurable hardware architecture for miscellaneous floating-point transcendental functions. The hardware architecture supports a variety of transcendental functions, including floating-point sine, cosine, arctangent, exponential a

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Tousignant, Maura. "Transcendence and Its Shadow: A Depth Psychological Inquiry into Transcendence, the Transcendent Function, and Spiritual Bypassing." Psychological Perspectives 66, no. 4 (2023): 479–96. http://dx.doi.org/10.1080/00332925.2023.2311547.

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Nishioka, Keiji. "A note on the transcendency of Painlevé’s first transcendent." Nagoya Mathematical Journal 109 (March 1988): 63–67. http://dx.doi.org/10.1017/s0027763000002762.

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Here we shall prove that Painlevé’s first transcendent, a solution of the equation y″ = 6y2 + x, can not be described as any combination of solutions of first order algebraic differential equations and those of linear differential equations. This result gives an answer to the question whether the function is truely new or not.

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COONS, MICHAEL, and YOHEI TACHIYA. "TRANSCENDENCE OVER MEROMORPHIC FUNCTIONS." Bulletin of the Australian Mathematical Society 95, no. 3 (2017): 393–99. http://dx.doi.org/10.1017/s0004972717000193.

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In this short note, considering functions, we show that taking an asymptotic viewpoint allows one to prove strong transcendence statements in many general situations. In particular, as a consequence of a more general result, we show that if$F(z)\in \mathbb{C}[[z]]$is a power series with coefficients from a finite set, then$F(z)$is either rational or it is transcendental over the field of meromorphic functions.

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BUNDSCHUH, PETER. "TRANSCENDENCE AND ALGEBRAIC INDEPENDENCE OF SERIES RELATED TO STERN'S SEQUENCE." International Journal of Number Theory 08, no. 02 (2012): 361–76. http://dx.doi.org/10.1142/s1793042112500212.

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In this same journal, Coons published recently a paper [The transcendence of series related to Stern's diatomic sequence, Int. J. Number Theory6 (2010) 211–217] on the function theoretical transcendence of the generating function of the Stern sequence, and the transcendence over ℚ of the function values at all non-zero algebraic points of the unit disk. The main aim of our paper is to prove the algebraic independence over ℚ of the values of this function and all its derivatives at the same points. The basic analytic ingredient of the proof is the hypertranscendence of the function to be shown

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Khanduja, Sudesh K. "On residually transcendental valued function fields of conics." Glasgow Mathematical Journal 38, no. 2 (1996): 137–45. http://dx.doi.org/10.1017/s0017089500031360.

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Let K/Kobe a finitely generated field extension of transcendence degree 1. Let u0 be a valuation of Koand v a valuation of Kextending v0such that the residue field of vis a transcendental extension ofthe residue field k0of vo/such a prolongation vwill be called a residually transcendental prolongation of v0. Byan element with the uniqueness propertyfor (K, v)/(K0, v0) (or more briefly for v/v0)we mean an element / of Khaving u-valuation 0 which satisfies (i) the image of tunder the canonicalhomomorphism from the valuation ring of vonto the residue field of v(henceforth referred to as the v-res

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Vakili, Hadi. "Fuzzy Epistemology From View Point of Mystical Theology." Kanz Philosophia : A Journal for Islamic Philosophy and Mysticism 2, no. 1 (2012): 27. http://dx.doi.org/10.20871/kpjipm.v2i1.23.

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<div><p><strong>Abstrak :</strong> Isu imanensi dan transendensi sangat penting dalam pemikiran keagamaan. Salah satu alasan mengapa masalah ini tidak pernah terselesaikan adalah bahwa ia memiliki banyak makna dan muncul dalam konteks yang berbeda. Pandangan yang menekankan imanensi dalam satu konteks mungkin menekankan transendensi pada konteks lain. Arti keduanya pun sangat tergantung pada asumsi metaﬁsik mereka yang biasanya secara tidak sadar menggunakannya. Dua sisi yang saling terkait dan bergantung satu sama lain ini pasti hadir di konsep pikiran, jika hubungan a

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Hopkins, Burt C. "Numerical Identity and the Constitution of Transcendence in Transcendental Phenomenology." Research in Phenomenology 46, no. 2 (2016): 205–20. http://dx.doi.org/10.1163/15691640-12341336.

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I investigate the phenomenological significance of Husserl’s appeal to the “numerical identity” of irreality as it appears in recollected manifolds of lived-experience in his mature account of the transcendental constitution of transcendence and find it wanting. I show that what is at stake for Husserl in this appeal is the descriptive mark that exhibits the distinction between a unit of meaning as it is constituted in psychologically determined lived-experience and as it is constituted in lived-experience that is determined transcendentally. In other words, I show that numerical identity func

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13

Amou, Masaaki. "An improvement of a transcendence measure of Galochkin and Mahler's S-numbers." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 52, no. 1 (1992): 130–40. http://dx.doi.org/10.1017/s1446788700032912.

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AbstractWe give a transcendence measure of special values of functions satisfying certain functional equations. This improves an earlier result of Galochkin, and gives a better upper bound of the type for such a number as an S-number in the classification of transcendental numbers by Mahler.

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Urban, Elizabeth. "Transcendent function or group dysfunction? Comments on ‘Transcendence, transmission and transformation: the transcendent function in infant observation’ by Virginia Humphrey and Beth Barmack1." Journal of Analytical Psychology 57, no. 2 (2012): 247–53. http://dx.doi.org/10.1111/j.1468-5922.2011.01964.x.

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Coons, Michael. "Extension of Some Theorems of W. Schwarz." Canadian Mathematical Bulletin 55, no. 1 (2012): 60–66. http://dx.doi.org/10.4153/cmb-2011-037-9.

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AbstractIn this paper, we prove that a non–zero power series F(z) ∈ ℂ[[z]] satisfyingwhere d ≥ 2, A(z), B(z) ∈ C[z] with A(z) ≠ 0 and deg A(z), deg B(z) < d is transcendental over ℂ(z). Using this result and a theorem of Mahler’s, we extend results of Golomb and Schwarz on transcendental values of certain power series. In particular, we prove that for all k ≥ 2 the series is transcendental for all algebraic numbers z with |z| < 1. We give a similar result for . These results were known to Mahler, though our proofs of the function transcendence are new and elementary; no linear algebra or

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Thakur, Dinesh S., Zhi-Ying Wen, Jia-Yan Yao, and Liang Zhao. "Hypergeometric functions for function fields and transcendence." Comptes Rendus Mathematique 347, no. 9-10 (2009): 467–72. http://dx.doi.org/10.1016/j.crma.2009.03.006.

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Denis, Laurent. "Méthodes fonctionnelles pour la transcendance en caractéristique finie." Bulletin of the Australian Mathematical Society 50, no. 2 (1994): 273–86. http://dx.doi.org/10.1017/s0004972700013733.

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There are essentially two ways to obtain transcendence results in finite characteristic. The first, historically, is to use Ore's lemma and to prove that a series whose coefficients satisfy well-behaved divisibility properties cannot be a zero of an additive polynomial. This method is of the same kind as the method of p–automata. The second one is to try to imitate the usual methods in characteristic zero and to do transcendence theory with t–modules analogously to what we can do with algebraic groups. We want to show here that transcendence results over Fq(T) can also be obtained with the hel

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Trojovský, Pavel. "On the Nature of γ-th Arithmetic Zeta Functions". Symmetry 12, № 5 (2020): 790. http://dx.doi.org/10.3390/sym12050790.

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Symmetry and elementary symmetric functions are main components of the proof of the celebrated Hermite–Lindemann theorem (about the transcendence of e α , for algebraic values of α ) which settled the ancient Greek problem of squaring the circle. In this paper, we are interested in similar results, but for powers such as e γ log n . This kind of problem can be posed in the context of arithmetic functions. More precisely, we study the arithmetic nature of the so-called γ-th arithmetic zeta function ζ γ ( n ) : = n γ ( = e γ log n ), for a positive integer n and a complex number γ . Moreover, we

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Rudenko, E. M., and E. V. Semikina. "UNMANNED AIRCRAFT ROUTING, GRAPH TRANSCENDENT TARGET FUNCTIONS AND GENETIC ALGORITHM." H&ES Research 13, no. 1 (2021): 6–17. http://dx.doi.org/10.36724/2409-5419-2021-13-1-6-17.

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The problem of finding routes for unmanned aerial vehicles on various graphs of reference points on the ground using a genetic algorithm is considered. A comparison of methods for constructing graph functions based on the algebraic number-theoretic approach, as well as using transcendental functions, is carried out. Consideration of examples of objective functions constructed by algebraic methods taking into account the multiplicity of the numbers of vertices in a closed route shows that this approach leads to false routes for graphs of large dimension. This drawback can be eliminated by takin

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Bostan, Alin, Lucia Di Vizio, and Kilian Raschel. "Differential transcendence of Bell numbers and relatives: A Galois theoretic approach." American Journal of Mathematics 146, no. 6 (2024): 1577–615. http://dx.doi.org/10.1353/ajm.2024.a944358.

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abstract: In 2003 Klazar proved that the ordinary generating function of the sequence of Bell numbers is differentially transcendental over the field $\C(\{t\})$ of meromorphic functions at $0$. We show that Klazar's result is an instance of a general phenomenon that can be proven in a compact way using difference Galois theory. We present the main principles of this theory in order to prove a general result about differential transcendence over $\C(\{t\})$, that we apply to many other (infinite classes of) examples of generating functions, including as very special cases the ones considered b

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Popa, Mihai. "Asupra conceptului de dogmă la Lucian Blaga." Studii de istorie a filosofiei românești 2024, no. 20 (2024): 91–100. https://doi.org/10.59277/sifr.202420.06.

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The meaning Blaga assigns to dogma implies a logical impasse and a transcendent solution. The intellect is often confronted with choices that appear contradictory when it directs its efforts toward providing abstract meaning to ontological significances that exceed its sphere of applicability. In Blaga's view, dogma represents any intellectual formula that, in radical disagreement with understanding, posits a transcendence of logic, thereby coming into conflict with the usual functions of the intellect. Recognizing these crises, the intellect attempts to find methods to resolve the arising ant

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Pacheco Acosta, Hector Luis. "Las funciones empíricas y transcendentales de la memoria en Kant." Eidos, no. 32 (April 13, 2020): 103–34. http://dx.doi.org/10.14482/eidos.32.193.

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Aloshyn, Vladyslav. "Real and Transcendental Worlds in the Story of the Founding of the Dormition Cathedral." NaUKMA Research Papers. Literary Studies, no. 4-5 (March 17, 2025): 3–8. https://doi.org/10.18523/2618-0537.2024.4-5.3-8.

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The article discusses the real and transcendental worlds and their roles in the story of the founding of the Dormition Cathedral. Furthermore, the article contains an analysis of characters and places, demonstrating their influence on the plot and ideological content. The author describes the term “transcendental” in the context of the text, using the theories of Immanuel Kant (“The Critique of Pure Reason”) and the thoughts of Thomas Aquinas. Considerable attention is paid to the motif of the miracle and its connection with extra-textual reality as an ideological justification for preserving

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DEHING, JEF. "The Transcendent Function." Journal of Analytical Psychology 38, no. 3 (1993): 221–36. http://dx.doi.org/10.1111/j.1465-5922.1993.00221.x.

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Massie, Pascal. "Seeing Darkness, Hearing Silence." Epoché: A Journal for the History of Philosophy 25, no. 1 (2020): 81–99. http://dx.doi.org/10.5840/epoche20201014173.

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This essay addresses the following questions: How does the meta-sensory function of koine aisthesis (sensing-that-I-sense) relate to its other functions? How can a meta-level arise from the immanence of sensation? Can we give an account of meta-sensation that doesn’t assume a transcendental plane? My contention is that (a) the representationalist model doesn’t apply to Aristotle and that (b) Aristotle offers an alternative that is worth exploring. I propose to interpret the meta-sensory power of the koine aisthesis in terms of the sensing of the limits of perception. The sensing of the limit o

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Brasil, Leonardo Tubia, and Pablo da Silva Gusmão. "Ensaio sobre a natureza transcendental na performance musical: conceituação e paralelos soteriológicos." Percepta - Revista de Cognição Musical 9, no. 1 (2021): 39–45. http://dx.doi.org/10.34018/2318-891x.9(1)39-45.

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This essay aims to clarify the concept of transcendental experience in musical performance, as a way to understand, for further research, how much it can be achieved and what would be - if any - its soteriological function, i.e., of human salvation, in life of the human being. To this end, it first seeks to clarify the linguistic confusion about the transcendental term refer-ring to music and, through parallels with the ancient philosophies of the Hellenes and their understandings of experience, to discern how it occurs during the performance – or if it does, in fact – as well as understanding

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Yao, Jia-Yan. "Some transcendental functions over function fields with positive characteristic." Comptes Rendus Mathematique 334, no. 11 (2002): 939–43. http://dx.doi.org/10.1016/s1631-073x(02)02378-6.

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Malich, Dmitrii M. "The doll as an image of transcendent transition in I. Bergman’s film "Fanny and Alexander"." Vestnik of Saint Petersburg State University of Culture, no. 3 (60) (2024): 98–102. http://dx.doi.org/10.30725/2619-0303-2024-3-98-102.

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The symbolic significance of the doll in Ingmar Bergman’s film «Fanny and Alexander» has been explored. Special attention is given to the doll’s function as a medium between the living and the dead, as well as its impact on the viewer’s perception. The analysis is conducted through the lens of cultural, aesthetic, and psychological aspects, revealing the deep archetypal and symbolic meanings embedded in the image of the doll. The study emphasizes Bergman’s original approach to the use of symbolism in cinematography, thereby enriching the film with a unique transcendent atmosphere. The doll, as

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Mijajlović, Žarko, and Branko Malešević. "Differentially transcendental functions." Bulletin of the Belgian Mathematical Society - Simon Stevin 15, no. 2 (2008): 193–201. http://dx.doi.org/10.36045/bbms/1210254818.

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Nowroji, P. Thathabai, and M. Muniasamy. "On transcendental functions." Resonance 6, no. 11 (2001): 27–33. http://dx.doi.org/10.1007/bf02868241.

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Thompson, W. J. "Visualizing transcendental functions." Computing in Science & Engineering 2, no. 6 (2000): 98–103. http://dx.doi.org/10.1109/5992.881713.

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Becker-Landeck, Paul-Georg. "Transcendence measures by Mahler's transcendence method." Bulletin of the Australian Mathematical Society 33, no. 1 (1986): 59–65. http://dx.doi.org/10.1017/s0004972700002860.

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Let f(z) be an analytic function in the unit circle satisfying the functional equation f(z) = a(z) f(zρ) + b(z), where ρ is a natural number and a(z), b(z) are polynomials. If α is an algebraic number, we give a transcendence measure for f(α). This improves earlier results of Galochkin and Miller.

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Wang, Songmin, and Zongsheng Gao. "Meromorphic Functions Sharing a Small Function." Abstract and Applied Analysis 2007 (2007): 1–6. http://dx.doi.org/10.1155/2007/60718.

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We will study meromorphic functions that share a small function, and prove the following result: letf(z)andg(z)be two transcendental meromorphic functions in the complex plane and letn≥11be a positive integer. Assume thata(z)(≢0)is a common small function with respect tof(z)andg(z). Iffnf′andgng′sharea(z)CM, then eitherfn(z)f′(z)gn(z)g′(z)≡a2(z), orf(z)≡tg(z)for a constant satisfyingtn+1=1. As applications, we give several examples.

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Yu, Jing. "Transcendence theory over function fields." Duke Mathematical Journal 52, no. 2 (1985): 517–27. http://dx.doi.org/10.1215/s0012-7094-85-05226-3.

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Nesterenko, Yu V. "Modular functions and transcendence questions." Sbornik: Mathematics 187, no. 9 (1996): 1319–48. http://dx.doi.org/10.1070/sm1996v187n09abeh000158.

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Bell, Jason P., and Michael Coons. "Transcendence tests for Mahler functions." Proceedings of the American Mathematical Society 145, no. 3 (2016): 1061–70. http://dx.doi.org/10.1090/proc/13297.

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Horne, Michael. "How Does the Transcendent Function?" San Francisco Jung Institute Library Journal 17, no. 2 (1998): 21–42. http://dx.doi.org/10.1525/jung.1.1998.17.2.21.

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Bob, Petr. "Dissociation, Chaos and Transcendent Function." Activitas Nervosa Superior 55, no. 4 (2013): 151–56. http://dx.doi.org/10.1007/bf03379734.

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Dragomir, Silvestru Sever. "Inequalities for Lerch transcendent function." Tamkang Journal of Mathematics 54, no. 2 (2023): 175–91. http://dx.doi.org/10.5556/j.tkjm.54.2023.3988.

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Some fundamental inequalities for Lerch transcendent function with positive terms by utilising certain classical results due to Hölder, Čebyšev, Grüss and others, are established. Some particular cases of interest for Polylogarithm function, Hurwitz zeta function and Legendre chi function are also given.

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Gorelov, Vasiliy A. "On the Cogredience and Contragredience of Linear Differential Equations and Systems." Vestnik MEI, no. 6 (2021): 148–51. http://dx.doi.org/10.24160/1993-6982-2021-6-148-151.

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The Siegel-Shidlovskii method remains one of the basic methods in the theory of transcendental numbers. By using this method, it is possible to prove the transcendence and algebraic independence of the values of entire functions of a certain class (so-called E-functions). A necessary condition for applying this method is that all of the considered functions must constitute a solution of a system of linear differential equations and were algebraically independent over . The question about algebraic independence of the solutions of linear differential equations and systems of such equations is o

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HUA, XINHOU, and CHUNG-CHUN YANG. "Fatou components of entire functions of small growth." Ergodic Theory and Dynamical Systems 19, no. 5 (1999): 1281–93. http://dx.doi.org/10.1017/s0143385799146753.

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This paper is concerned with the dynamics of transcendental entire functions. Let $f(z)$ be a transcendental entire function. We shall study the boundedness of the components of the Fatou set $F(f)$ under some restrictions on the growth of the function. This relates to a problem due to Baker in 1981.

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Fukushima, Toshio. "Precise and fast computation of LambertW-functions without transcendental function evaluations." Journal of Computational and Applied Mathematics 244 (May 2013): 77–89. http://dx.doi.org/10.1016/j.cam.2012.11.021.

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Huang, Xiaojie, Zhixiu Li, and Chun Wu. "Escaping subsets of cosine functions with the given Hausdorff dimension." Filomat 36, no. 19 (2022): 6553–71. http://dx.doi.org/10.2298/fil2219553h.

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The escaping set is the important object studied in dynamics of transcendental entire functions. As exponential function is the most typical transcendental entire function, its escaping set has been deeply studied. It is well known that if the function is slightly disturbed, the properties of its dynamical system may vary greatly. We can?t easily study different functions in the same way. Contrasting exponential function, we pay our main attention to the cosine function in this paper. We construct some escaping subsets of cosine function by Devaney-Krych codes so that the Hausdorff dimension o

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Rusdika, I. Wayan, Ida Bagus Gede Candrawan, and I. Gusti Ayu Ratna Pramesti Dasih. "KOMUNIKASI TRANSENDENTAL MAPAJEJIWAN DALAM UPACARA MAPASELANG DI PURA PENATARAN AGUNG PUCAK MANGU BANJAR TINGGAN DESA PELAGA KECAMATAN PETANG KABUPATEN BADUNG." Jurnal Penelitian Agama Hindu 2, no. 1 (2018): 227. http://dx.doi.org/10.25078/jpah.v2i1.474.

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<p><em>Procession mapajejiwan conducted by two people sulinggih by reading the text of sacred dialogue is a real form of application of transcendental communication. Mapajejwan held as the top of the mapaselang ceremony that has the meaning as a process of the creation of the universe performed by God tangible Sang Hyang Semara Ratih. The problems that will be discussed are: 1) How is the transcendental communication process of mapajejiwan in Pura Penataran Agung Pucak Mangu ?, 2) What is the function of transcendental mapajajianwan communication in Pura Penataran Agung Pucak Mangu

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Takács, J. "Equivalent Analytical Functions of Sums of Sigmoid like Transcendental Functions." Applied Mathematics and Nonlinear Sciences 3, no. 2 (2018): 403–8. http://dx.doi.org/10.21042/amns.2018.2.00030.

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AbstractThere is no mathematical solution to adding up transcendental functions other than numerical process. This paper put forward analytical method to model the sum of sigmoid like functions with an equivalent function. The Brillouin and Langevin as well as the error function, the tanh, sigmoid and the tan-1 functions are investigated, their equivalent functions are calculated for four components and the error between the numerical (computer assisted) result and the equivalent function is tested for accuracy. The best modelling function, the most useful to include into mathematical operatio

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Tychinina, Alyona. "Therapeutic Function of an Artistic Image: Poetics of Biblical Images Serhiy Zhadan." Pitannâ lìteraturoznavstva, no. 110 (December 31, 2024): 36–61. https://doi.org/10.31861/pytlit2024.110.036.

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This article delineates the specific therapeutic function of art in general and the artistic image in particular. Their therapeutic and compensatory potential is examined within philosophical and literary discourses. The discussion engages with Plato’s reflections on the educational and moral role of art and Aristotle’s theory concerning the cathartic effects of tragedy. Contributions from V. Maggi, S. Haupt, G. Lehnert, E. Zeller, E. Müller, and J. Bernays are considered. The study explores Friedrich Nietzsche’s notion of the receptive-compensatory function of art, particularly the reconcilia

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Metzger, Jesse A. "Adaptive Defense Mechanisms: Function and Transcendence." Journal of Clinical Psychology 70, no. 5 (2014): 478–88. http://dx.doi.org/10.1002/jclp.22091.

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Subedi, Bishnu Hari. "On the Partition of Fast Escaping Sets of a Transcendental Entire Function." Journal of Institute of Science and Technology 27, no. 1 (2022): 109–12. http://dx.doi.org/10.3126/jist.v27i1.46683.

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For a transcendental entire function f, the set of form I ( f ) = {z ∈ : (z) → ∞ as n → ∞} is called an escaping set. The major open question in transcendental dynamics is the conjecture of Eremenko, which states that for any transcendental entire function f, the escaping set I ( f ) has no bounded component. This conjecture in a special case has been proved by defining the fast escaping set A ( f ), which consists of points that move to infinity as fast as possible. Very recent studies in the field of transcendental dynamics have concentrated on the partition of fast escaping sets into maxima

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Myers, Steve. "The transcendent function in politics: YES!" Journal of Analytical Psychology 67, no. 3 (2022): 817–37. http://dx.doi.org/10.1111/1468-5922.12818.

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Garunkštis, Ramūnas, and Andrius Grigutis. "ZEROS OF THE LERCH TRANSCENDENT FUNCTION." Mathematical Modelling and Analysis 17, no. 2 (2012): 245–50. http://dx.doi.org/10.3846/13926292.2012.662532.

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We investigate the distribution of zeros of the Lerch transcendent function We find an upper and lower estimates of zeros of the function Φ(q,s,a) in any rectangle {s : σ1 &lt; Re s &lt; σ2 ≤ 1.73…, 0 &lt; Im s ≤ T}. Further we are interested in a computer calculations concerning the zeros of Φ(q,s,α) in {s: Re s > 1, 0 &lt; Im s ≤ 1000}.

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