Log in

Relevant bibliographies by topics / Artin L-functions / Journal articles

To see the other types of publications on this topic, follow the link: Artin L-functions.

Journal articles on the topic 'Artin L-functions'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Artin L-functions.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Cimpoeaş, Mircea, and Florin Nicolae. "Independence of Artin L-functions." Forum Mathematicum 31, no. 2 (2019): 529–34. http://dx.doi.org/10.1515/forum-2018-0185.

Full text

Abstract:

AbstractLet {K/\mathbb{Q}} be a finite Galois extension. Let {\chi_{1},\ldots,\chi_{r}} be {r\geq 1} distinct characters of the Galois group with the associated Artin L-functions {L(s,\chi_{1}),\ldots,L(s,\chi_{r})}. Let {m\geq 0}. We prove that the derivatives {L^{(k)}(s,\chi_{j})}, {1\leq j\leq r}, {0\leq k\leq m}, are linearly independent over the field of meromorphic functions of order {<1}. From this it follows that the L-functions corresponding to the irreducible characters are algebraically independent over the field of meromorphic functions of order {<1}.

APA, Harvard, Vancouver, ISO, and other styles

2

Nicolae, Florin. "On holomorphic Artin L-functions." Monatshefte für Mathematik 186, no. 4 (2017): 679–83. http://dx.doi.org/10.1007/s00605-017-1120-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Murty, M. Ram. "Selberg's Conjectures and Artin $L$-functions." Bulletin of the American Mathematical Society 31, no. 1 (1994): 1–15. http://dx.doi.org/10.1090/s0273-0979-1994-00479-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Ward, Kenneth. "Values of twisted Artin L-functions." Archiv der Mathematik 103, no. 3 (2014): 285–90. http://dx.doi.org/10.1007/s00013-014-0692-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Eyler, Mason, and Jaiung Jun. "Artin-Ihara L-functions for hypergraphs." Advances in Mathematics 450 (July 2024): 109745. http://dx.doi.org/10.1016/j.aim.2024.109745.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Funakura, Takeo. "On Coefficients of Artin L Functions as Dirichlet Series." Canadian Mathematical Bulletin 33, no. 1 (1990): 50–54. http://dx.doi.org/10.4153/cmb-1990-008-1.

Full text

Abstract:

AbstractThe paper is motivated by a result of Ankeny [1] above Dirichlet L functions in 1952. We generalize this from Dirichlet L functions to Artin L functions of relative abelian extensions, by complementing the ingenious proof of Ankeny's theorem given by Iwasaki [4]. Moreover, we characterize Dirichlet L functions in the class of all Artin L functions in terms of coefficients as Dirichlet series.

APA, Harvard, Vancouver, ISO, and other styles

7

Booker, Andrew. "Poles of Artin L-functions and the strong Artin conjecture." Annals of Mathematics 158, no. 3 (2003): 1089–98. http://dx.doi.org/10.4007/annals.2003.158.1089.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Cho, Peter J., and Henry H. Kim. "Low lying zeros of Artin $$L$$ L -functions." Mathematische Zeitschrift 279, no. 3-4 (2014): 669–88. http://dx.doi.org/10.1007/s00209-014-1387-2.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Cimpoeaş, Mircea, and Florin Nicolae. "Artin L-functions of almost monomial Galois groups." Forum Mathematicum 32, no. 4 (2020): 937–40. http://dx.doi.org/10.1515/forum-2019-0288.

Full text

Abstract:

AbstractIf {K/\mathbb{Q}} is a finite Galois extension with an almost monomial Galois group and if {s_{0}\in\mathbb{C}\setminus\{1\}} is not a common zero for any two Artin L-functions associated to distinct complex irreducible characters of the Galois group, then all Artin L-functions of {K/\mathbb{Q}} are holomorphic at {s_{0}}. We present examples and basic properties of almost monomial groups.

APA, Harvard, Vancouver, ISO, and other styles

10

Stepanov, S. A. "On the structure of Artin $ L$-functions." Izvestiya: Mathematics 78, no. 1 (2014): 154–68. http://dx.doi.org/10.1070/im2014v078n01abeh002683.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Taormina, A., and S. M. J. Wilson. "Virasoro Character Identities and Artin L-Functions." Communications in Mathematical Physics 196, no. 1 (1998): 77–103. http://dx.doi.org/10.1007/s002200050415.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Duke, W., J. B. Friedlander, and H. Iwaniec. "The subconvexity problem for Artin L -functions." Inventiones Mathematicae 149, no. 3 (2002): 489–577. http://dx.doi.org/10.1007/s002220200223.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Gross, Benedict H. "On the values of Artin L-functions." Pure and Applied Mathematics Quarterly 1, no. 1 (2005): 1–13. http://dx.doi.org/10.4310/pamq.2005.v1.n1.a1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Cho, Peter J., and Henry H. Kim. "Central limit theorem for Artin L-functions." International Journal of Number Theory 13, no. 01 (2016): 1–14. http://dx.doi.org/10.1142/s1793042117500014.

Full text

Abstract:

We show that the sum of the traces of Frobenius elements of Artin [Formula: see text]-functions in a family of [Formula: see text]-fields satisfies the Gaussian distribution under certain counting conjectures. We prove the counting conjectures for [Formula: see text] and [Formula: see text]-fields. We also prove a central limit theorem for the [Formula: see text]-functions of modular forms on congruence subgroups [Formula: see text] as [Formula: see text].

APA, Harvard, Vancouver, ISO, and other styles

15

Wong, Peng-Jie. "On critical values of twisted Artin $L$-functions." Czechoslovak Mathematical Journal 67, no. 2 (2017): 551–55. http://dx.doi.org/10.21136/cmj.2017.0134-16.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Keys, C. David, and Freydoon Shahidi. "Artin $L$-functions and normalization of intertwining operators." Annales scientifiques de l'École normale supérieure 21, no. 1 (1988): 67–89. http://dx.doi.org/10.24033/asens.1551.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

Jung, Hwanyup. "AVERAGE OF L-FUNCTIONS OF ARTIN-SCHREIER EXTENSIONS." Journal of the Chungcheong Mathematical Society 29, no. 4 (2016): 599–611. http://dx.doi.org/10.14403/jcms.2016.29.4.599.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Klüners, Jürgen, and Florin Nicolae. "Are number fields determined by Artin L-functions?" Journal of Number Theory 167 (October 2016): 161–68. http://dx.doi.org/10.1016/j.jnt.2016.03.023.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Kida, Masanari, and Norihiko Namura. "On Artin L-functions of certain central extensions." Journal of Number Theory 173 (April 2017): 147–69. http://dx.doi.org/10.1016/j.jnt.2016.09.031.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Entin, Alexei. "Artin–Schreier L-functions and random unitary matrices." Journal of Number Theory 145 (December 2014): 340–51. http://dx.doi.org/10.1016/j.jnt.2014.06.019.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Omar, Sami. "On Artin L-Functions for Octic Quaternion Fields." Experimental Mathematics 10, no. 2 (2001): 237–45. http://dx.doi.org/10.1080/10586458.2001.10504445.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Cho, Peter J., and Henry H. Kim. "Universality of Artin L-functions in conductor aspect." Journal of Mathematical Analysis and Applications 456, no. 1 (2017): 34–56. http://dx.doi.org/10.1016/j.jmaa.2017.06.076.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Fu, Lei, and Daqing Wan. "Total Degree Bounds for Artin L-functions and Partial Zeta Functions." Mathematical Research Letters 10, no. 1 (2003): 33–40. http://dx.doi.org/10.4310/mrl.2003.v10.n1.a4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

KIM, DOHYEONG. "p-adic L-functions over the false Tate curve extensions." Mathematical Proceedings of the Cambridge Philosophical Society 155, no. 3 (2013): 483–98. http://dx.doi.org/10.1017/s0305004113000431.

Full text

Abstract:

AbstractLet f be a primitive modular form of CM type of weight k and level Γ0(N). Let p be an odd prime which does not divide N, and for which f is ordinary. Our aim is to p-adically interpolate suitably normalized versions of the critical values L(f, ρχ,n), where n=1,2,. . .,k − 1, ρ is a fixed self-dual Artin representation of M∞ defined by (1.1) below, and χ runs over the irreducible Artin representations of the Galois group of the cyclotomic $\mathbb{Z}_p$-extension of $\mathbb{Q}$. As an application, if k ≥ 4, we will show that there are only finitely many χ such that L(f, ρχ,k/2)=0, gene

APA, Harvard, Vancouver, ISO, and other styles

25

Cimpoeaş, Mircea. "On the semigroup ring of holomorphic Artin $L$-functions." Colloquium Mathematicum 160, no. 2 (2020): 283–95. http://dx.doi.org/10.4064/cm7750-3-2019.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Booker, Andrew R., and M. Krishnamurthy. "A strengthening of the GL(2) converse theorem." Compositio Mathematica 147, no. 3 (2011): 669–715. http://dx.doi.org/10.1112/s0010437x10005087.

Full text

Abstract:

AbstractWe generalize the method of A. R. Booker (Poles of Artin L-functions and the strong Artin conjecture, Ann. of Math. (2)158(2003), 1089–1098; MR 2031863(2004k:11082)) to prove a version of the converse theorem of Jacquet and Langlands with relaxed conditions on the twists by ramified idèle class characters.

APA, Harvard, Vancouver, ISO, and other styles

27

Cho, Peter J., and Henry H. Kim. "Logarithmic derivatives of Artin -functions." Compositio Mathematica 149, no. 4 (2013): 568–86. http://dx.doi.org/10.1112/s0010437x12000735.

Full text

Abstract:

AbstractLet $K$ be a number field of degree $n$, and let $d_K$ be its discriminant. Then, under the Artin conjecture, the generalized Riemann hypothesis and a certain zero-density hypothesis, we show that the upper and lower bounds of the logarithmic derivatives of Artin $L$-functions attached to $K$ at $s=1$ are $\log \log |d_K|$ and $-(n-1) \log \log |d_K|$, respectively. Unconditionally, we show that there are infinitely many number fields with the extreme logarithmic derivatives; they are families of number fields whose Galois closures have the Galois group $C_n$ for $n=2,3,4,6$, $D_n$ for

APA, Harvard, Vancouver, ISO, and other styles

28

SUZUKI, MASATOSHI. "A RELATION BETWEEN THE ZEROS OF TWO DIFFERENT L-FUNCTIONS WHICH HAVE AN EULER PRODUCT AND FUNCTIONAL EQUATION." International Journal of Number Theory 01, no. 03 (2005): 401–29. http://dx.doi.org/10.1142/s1793042105000248.

Full text

Abstract:

As automorphic L-functions or Artin L-functions, several classes of L-functions have Euler products and functional equations. In this paper we study the zeros of L-functions which have Euler products and functional equations. We show that there exists a relation between the zeros of the Riemann zeta-function and the zeros of such L-functions. As a special case of our results, we find relations between the zeros of the Riemann zeta-function and the zeros of automorphic L-functions attached to elliptic modular forms or the zeros of Rankin–Selberg L-functions attached to two elliptic modular form

APA, Harvard, Vancouver, ISO, and other styles

29

Entin, Alexei. "On the distribution of zeroes of Artin–Schreier L-functions." Geometric and Functional Analysis 22, no. 5 (2012): 1322–60. http://dx.doi.org/10.1007/s00039-012-0192-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Elstrodt, J., F. Grunewald, and J. Mennicke. "On unramified Am-extensions of quadratic number fields." Glasgow Mathematical Journal 27 (October 1985): 31–37. http://dx.doi.org/10.1017/s0017089500006054.

Full text

Abstract:

Number fields such as described in the title play a rôle in the study of Artin L-functions and automorphic forms for the groups SL2 over rings of integers in quadratic extensions of ℚ. They are also of some interest on their own. We have not found many examples in the literature. Lang [4] mentions an unramified A5-extension of a real quadratic number field which is due to E. Artin.

APA, Harvard, Vancouver, ISO, and other styles

31

Burns, David, and Henri Johnston. "A non-abelian Stickelberger theorem." Compositio Mathematica 147, no. 1 (2010): 35–55. http://dx.doi.org/10.1112/s0010437x10004859.

Full text

Abstract:

AbstractLet L/k be a finite Galois extension of number fields with Galois group G. For every odd prime p satisfying certain mild technical hypotheses, we use values of Artin L-functions to construct an element in the centre of the group ring ℤ(p)[G] that annihilates the p-part of the class group of L.

APA, Harvard, Vancouver, ISO, and other styles

32

Konomi, Yutaka. "On the special values of Artin $L$-functions for dihedral extensions." Functiones et Approximatio Commentarii Mathematici 52, no. 1 (2015): 109–16. http://dx.doi.org/10.7169/facm/2015.52.1.8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Bae, Sunghan, Yong Hu, and Linsheng Yin. "Artin L-functions and modular forms associated to quasi-cyclotomic fields." Acta Arithmetica 143, no. 1 (2010): 59–80. http://dx.doi.org/10.4064/aa143-1-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Cho, Peter J., and Henry H. Kim. "Application of the Strong Artin Conjecture to the Class Number Problem." Canadian Journal of Mathematics 65, no. 6 (2013): 1201–16. http://dx.doi.org/10.4153/cjm-2012-031-3.

Full text

Abstract:

AbstractWe construct unconditionally several families of number fields with the largest possible class numbers. They are number fields of degree 4 and 5 whose Galois closures have the Galois group A4; S4, and S5. We first construct families of number fields with smallest regulators, and by using the strong Artin conjecture and applying the zero density result of Kowalski–Michel, we choose subfamilies of L-functions that are zero-free close to 1. For these subfamilies, the L-functions have the extremal value at s = 1, and by the class number formula, we obtain the extreme class numbers.

APA, Harvard, Vancouver, ISO, and other styles

35

Breuning, Manuel, and David Burns. "Leading terms of Artin L-functions at s=0 and s=1." Compositio Mathematica 143, no. 6 (2007): 1427–64. http://dx.doi.org/10.1112/s0010437x07002874.

Full text

Abstract:

AbstractWe formulate an explicit conjecture for the leading term at s=1 of the equivariant Dedekind zeta-function that is associated to a Galois extension of number fields. We show that this conjecture refines well-known conjectures of Stark and Chinburg, and we use the functional equation of the zeta-function to compare it to a natural conjecture for the leading term at s=0.

APA, Harvard, Vancouver, ISO, and other styles

36

Bauer, Hartmut. "The value distribution of Artin L-series and zeros of Zeta-functions." Journal of Number Theory 98, no. 2 (2003): 254–79. http://dx.doi.org/10.1016/s0022-314x(02)00048-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Schappacher, Norbert. "Della Dumbaugh, Joachim Schwermer: “Emil Artin and Beyond—Class Field Theory and L $L$ -Functions”." Jahresbericht der Deutschen Mathematiker-Vereinigung 118, no. 4 (2016): 321–24. http://dx.doi.org/10.1365/s13291-016-0144-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

Sands, Jonathan W. "L-functions for Quadratic Characters and Annihilation of Motivic Cohomology Groups." Canadian Mathematical Bulletin 58, no. 3 (2015): 620–31. http://dx.doi.org/10.4153/cmb-2014-072-3.

Full text

Abstract:

AbstractLet n be a positive even integer, and let F be a totally real number field and L be an abelian Galois extension which is totally real or CM. Fix a finite set S of primes of F containing the infinite primes and all those which ramify in L, and let SL denote the primes of L lying above those in S. Then OSL denotes the ring of SL-integers of L. Suppose that ψ is a quadratic character of the Galois group of L over F. Under the assumption of the motivic Lichtenbaum conjecture, we obtain a nontrivial annihilator of the motivic cohomology group from the lead term of the Taylor series for the

APA, Harvard, Vancouver, ISO, and other styles

39

Dwyer, J. "Real zeros of Artin L -functions corresponding to five-dimensional S 5 -representations." Bulletin of the London Mathematical Society 46, no. 1 (2013): 51–58. http://dx.doi.org/10.1112/blms/bdt075.

Full text

APA, Harvard, Vancouver, ISO, and other styles

40

Hartl, Urs, and Rajneesh Kumar Singh. "PERIODS OF DRINFELD MODULES AND LOCAL SHTUKAS WITH COMPLEX MULTIPLICATION." Journal of the Institute of Mathematics of Jussieu 19, no. 1 (2018): 175–208. http://dx.doi.org/10.1017/s1474748017000494.

Full text

Abstract:

Colmez [Périodes des variétés abéliennes a multiplication complexe,Ann. of Math. (2)138(3) (1993), 625–683; available athttp://www.math.jussieu.fr/∼colmez] conjectured a product formula for periods of abelian varieties over number fields with complex multiplication and proved it in some cases. His conjecture is equivalent to a formula for the Faltings height of CM abelian varieties in terms of the logarithmic derivatives at$s=0$of certain Artin$L$-functions. In a series of articles we investigate the analog of Colmez’s theory in the arithmetic of function fields. There abelian varieties are re

APA, Harvard, Vancouver, ISO, and other styles

41

HASHIMOTO, KI-ICHIRO. "ARTIN TYPE L-FUNCTIONS AND THE DENSITY THEOREM FOR PRIME CYCLES ON FINITE GRAPHS." International Journal of Mathematics 03, no. 06 (1992): 809–26. http://dx.doi.org/10.1142/s0129167x92000370.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Louboutin, Stéphane. "Upper Bounds on |L(1, χ)| and Applications". Canadian Journal of Mathematics 50, № 4 (1998): 794–815. http://dx.doi.org/10.4153/cjm-1998-042-2.

Full text

Abstract:

AbstractWe give upper bounds on the modulus of the values at s = 1 of Artin L-functions of abelian extensions unramified at all the infinite places.We also explain how we can compute better upper bounds and explain how useful such computed bounds are when dealing with class number problems for CM-fields. For example, we will reduce the determination of all the non-abelian normal CM-fields of degree 24 with Galois group SL2(F3) (the special linear group over the finite field with three elements) which have class number one to the computation of the class numbers of 23 such CM-fields.

APA, Harvard, Vancouver, ISO, and other styles

43

Griffon, Richard. "Bounds on special values of L-functions of elliptic curves in an Artin–Schreier family." European Journal of Mathematics 5, no. 2 (2018): 476–517. http://dx.doi.org/10.1007/s40879-018-0284-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Darmon, Henri, and Victor Rotger. "Diagonal cycles and Euler systems II: The Birch and Swinnerton-Dyer conjecture for Hasse-Weil-Artin $L$-functions." Journal of the American Mathematical Society 30, no. 3 (2016): 601–72. http://dx.doi.org/10.1090/jams/861.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Arain, Saad, Eshana Shah, Betul Gok Yavuz, et al. "Hematologic Predictors of Outcomes in Patients Undergoing Intensive Induction Chemotherapy for Newly Diagnosed Acute Myeloid Leukemia." Blood 136, Supplement 1 (2020): 39–40. http://dx.doi.org/10.1182/blood-2020-136708.

Full text

Abstract:

Background Presently, acute myeloid leukemia (AML) risk stratification is estimated prior to treatment by incorporating patient and disease characteristics. However, apart from the limited use of minimal residual disease measurement, few methodologies assess AML relapse risk post-treatment. In attempts to correlate pre- and post-treatment blood cell counts with hematologic disease outcomes, the ratio, LNR, between absolute lymphocyte count (ALC) and neutrophils (ANC) has been utilized to approximate the relationship between the lymphoid system and the myeloid microenvironment (in particular my

APA, Harvard, Vancouver, ISO, and other styles

46

Paçacı, Çetin Gülden, and Neriman Defne Altıntaş. "The Change in Vitamin D Levels during the Early Days of Intensive Care Unit ‎Admission and Factors Affecting Change." Life and Medical Sciences 1, no. 2 (2022): 62–68. https://doi.org/10.54584/lms.2022.11.

Full text

Abstract:

<strong>Abstract</strong> In the last decade, vitamin D has an increasing importance due to its demonstrated pleotropic, antimicrobial, and immunomodulatory effects, and has been a subject of interest especially in critically ill patients due to its role on immune functions. The aim of this study is to determine whether vitamin D levels change &lrm;during the first days of intensive care unit (ICU) admission and to study factors that may &lrm;affect these variations. Patients admitted to the ICU between March 2014 and December 2014 were &lrm;included in the study. Blood samples

APA, Harvard, Vancouver, ISO, and other styles

47

Rohini, P. "Effect of the drug Diclofenac on the brain tissue of Channa punctatus." Biolife 8, no. 4 (2022): 1–4. https://doi.org/10.5281/zenodo.7275472.

Full text

Abstract:

<strong>Abstract</strong> Pharmaceuticals are the biologically active compounds that are designed to exert specific action on the target molecules of human and veterinary animals. The erroneous use of these drugs has resulted in aquatic pollution. Diclofenac is a non-steroidal anti- inflammatory drug that has been usually detected in surface waters worldwide. There are investigations on the toxicity of this drug in aquatic flora and fauna. The acute toxic studies on the histological alterations in fish are very rare. The brain is an important organ which controls all functions of the body. The

APA, Harvard, Vancouver, ISO, and other styles

48

Karakuş, Hasan. "Innate Immune Response and Immune Evasion in Viral Infections." Journal of Molecular Virology and Immunology 3, no. 1 (2022): 1–19. https://doi.org/10.46683/jmvi.2022.44.

Full text

Abstract:

<strong>Özet</strong> Virüsler insanlarda çoğunlukla asemptomatik veya geçici hastalıklara neden olurlar. Bununla beraber bazı virüsler kalıcı hasar, kronik veya persistan enfeksiyonlar, ciddi seyirli ve yüksek mortaliteli enfeksiyonlar ve neoplastik transformasyona neden olabilmeleri nedeniyle önem taşırlar. Virüsler neden oldukları salgınlarla insanlık tarihinde yıkıcı etkileri ile toplumsal hafızalarda da önemli izler bırakmışlardır. En önemli halk sağlığı sorunları arasında yer alan viral enfeksiyonlarla mücadele (çocuk felc

APA, Harvard, Vancouver, ISO, and other styles

49

Jones, John W., and David P. Roberts. "Artin L-functions of small conductor." Research in Number Theory 3, no. 1 (2017). http://dx.doi.org/10.1007/s40993-017-0079-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Gun, Sanoli, Suhita Hazra, and Dhananjaya Sahu. "On holomorphy and non-vanishing of Artin L-functions." Monatshefte für Mathematik, February 17, 2025. https://doi.org/10.1007/s00605-025-02060-7.

Full text

Abstract:

Abstract In this article, we investigate holomorphy and non vanishing of Artin L-functions for $$\Re (s) > 1/2$$ ℜ ( s ) > 1 / 2 . First, we show that Artin L-functions of a solvable Galois extension $$\textrm{K}/\textrm{F}$$ K / F with Galois group G are holomorphic at a point $$s_0$$ s 0 by comparing the order of vanishing of $$\zeta _\textrm{K}(s)$$ ζ K ( s ) with $$\zeta _{\textrm{K}^{G^{(2)}}}(s)$$ ζ K G ( 2 ) ( s ) , where $$G^{(2)}$$ G ( 2 ) is the second commutator subgroup of G. This extends a result of Foote and Kumar Murty. Finally, we derive a criterion which is equivalent to

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!