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Articoli di riviste sul tema "Zeta"

Autore: Grafiati

Pubblicato: 4 giugno 2021

Ultima modifica: 25 luglio 2025

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1

Лауринчикас, Антанас, та Antanas Laurinčikas. "О совместной универсальности дзета-функций Римана и Гурвица". Matematicheskie Zametki 111, № 4 (2022): 551–60. http://dx.doi.org/10.4213/mzm13259.

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В 2007 г. Г. Мишу доказал теорему универсальности о совместном приближении пары аналитических функций сдвигами $(\zeta(s+i\tau),\zeta(s+i\tau,\alpha))$ дзета-функции Римана и дзета-функции Гурвица с трансцендентным параметром $\alpha$. В статье получена аналогичная теорема о приближении сдвигами $$ (\zeta_{u_N}(s+ikh_1),\zeta_{u_N}(s+ikh_2,\alpha)),\qquad k\in\mathbb{N}\cup\{0\},\quad h_1,h_2>0, $$ где $\zeta_{u_N}(s)$ и $\zeta_{u_N}(s,\alpha)$ - абсолютно сходящиеся ряды Дирихле и при $N\to\infty$ в среднем стремятся к $\zeta(s)$ и $\zeta(s,\alpha)$ соответственно. Библиография: 11 названи

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2

Зудилин, Вадим Валентинович, та Wadim Valentinovich Zudilin. "Одно из чисел $\zeta(5), \zeta(7), \zeta(9), \zeta(11)$ иррационально". Uspekhi Matematicheskikh Nauk 56, № 4 (2001): 149–50. http://dx.doi.org/10.4213/rm427.

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3

Зудилин, Вадим Валентинович, та Wadim Valentinovich Zudilin. "Одно из восьми чисел $\zeta(5),\zeta(7),…,\zeta(17),\zeta(19)$ иррационально". Matematicheskie Zametki 70, № 3 (2001): 472–76. http://dx.doi.org/10.4213/mzm759.

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4

Balčiūnas, Aidas, Mindaugas Jasas, and Audronė Rimkevičienė. "A DISCRETE VERSION OF THE MISHOU THEOREM RELATED TO PERIODIC ZETA-FUNCTIONS." Mathematical Modelling and Analysis 29, no. 2 (2024): 331–46. http://dx.doi.org/10.3846/mma.2024.19502.

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In the paper, we consider simultaneous approximation of a pair of analytic functions by discrete shifts $\zeta_{u_N}(s+ikh_1; \ga)$ and $\zeta_{u_N}(s+ikh_2, \alpha; \gb)$ of the absolutely convergent Dirichlet series connected to the periodic zeta-function with multiplicative sequence $\ga$, and the periodic Hurwitz zeta-function, respectively. We suppose that $u_N\to\infty$ and $u_N\ll N^2$ as $N\to\infty$, and the set $\{(h_1\log p:\! p\in\! \PP), (h_2\log(m+\alpha): m\in \NN_0), 2\pi\}$ is linearly independent over $\QQ$.

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5

Lambert, Joseph B., Lourdes A. Salvador, and Charlotte L. Stern. "The .zeta.(Zeta) effect of tin." Journal of Organic Chemistry 58, no. 20 (1993): 5428–33. http://dx.doi.org/10.1021/jo00072a027.

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6

Hernández-Eliseo, Yessica, Josué Ramírez-Ortega, and Francisco G. Hernández-Zamora. "Toeplitz operators on two poly-Bergman-type spaces of the Siegel domain $ D_2 \subset \mathbb{C}^2 $ with continuous nilpotent symbols." AIMS Mathematics 9, no. 3 (2024): 5269–93. http://dx.doi.org/10.3934/math.2024255.

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<abstract><p>We studied Toeplitz operators acting on certain poly-Bergman-type spaces of the Siegel domain $ D_{2} \subset \mathbb{C}^{2} $. Using continuous nilpotent symbols, we described the $ C^* $-algebras generated by such Toeplitz operators. Bounded measurable functions of the form $ \tilde{c}(\zeta) = c(\text{Im}\, \zeta_{1}, \text{Im}\, \zeta_{2} - |\zeta_1|^{2}) $ are called nilpotent symbols. In this work, we considered symbols of the form $ \tilde{a}(\zeta) = a(\text{Im}\, \zeta_1) $ and $ \tilde{b}(\zeta) = b(\text{Im}\, \zeta_2 -|\zeta_1|^{2}) $, where both limits $ \

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7

ROTKOVIĆ, Radoslav. "Da dove provengono i nomi dei fiumi Zeta e Cijevna." Lingua Montenegrina 2, no. 2 (2008): 97–101. https://doi.org/10.46584/lm.v2i2.43.

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I nomi del fiume Zeta e della pianura Zeta, che era anche il nome di stato nel medio evo, da tanto tempo sono uguali, ma questo non significa che hanno le stesse radici. Il nome del fiume Zeta era sempre lo stesso, e provviene da balto-slavico e significa l’affluente, così come il genero – zet entra nella famiglia attraverso il contratto del matrimonio. E questo diventa più chiaro se guardiamo nel vocabolario inglese: il genero (zet in slavo) è:sohn-in-law = figlio secondo la legge, per non confon-derlo con il figlio naturale! Dunque, anche lui e un affluente.Il nome della terra Zeta e frutto

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8

Lagarias, Jeffrey C., and Wen-Ching Winnie Li. "The Lerch zeta function I. Zeta integrals." Forum Mathematicum 24, no. 1 (2012): 1–48. http://dx.doi.org/10.1515/form.2011.047.

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9

Kurokawa, Nobushige, Masato Wakayama, and Yoshinori Yamasaki. "Milnor–Selberg zeta functions and zeta regularizations." Journal of Geometry and Physics 64 (February 2013): 120–45. http://dx.doi.org/10.1016/j.geomphys.2012.10.015.

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10

Lai, Li, and Li Zhou. "At least two of $\zeta(5), \zeta(7), \ldots, \zeta(35)$ are irrational." Publicationes Mathematicae Debrecen 101, no. 3-4 (2022): 353–72. http://dx.doi.org/10.5486/pmd.2022.9252.

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11

Lai, Li, and Li Zhou. "At least two of $\zeta(5), \zeta(7), \ldots, \zeta(35)$ are irrational." Publicationes Mathematicae Debrecen 101, no. 3-4 (2022): 353–72. http://dx.doi.org/10.5486/pmd.2022.9252.

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12

Lai, Li, and Li Zhou. "At least two of $\zeta(5), \zeta(7), \ldots, \zeta(35)$ are irrational." Publicationes Mathematicae Debrecen 101, no. 3-4 (2022): 353–72. http://dx.doi.org/10.5486/pmd.2022.9252.

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13

Lai, Li, and Li Zhou. "At least two of $\zeta(5), \zeta(7), \ldots, \zeta(35)$ are irrational." Publicationes Mathematicae Debrecen 101, no. 3-4 (2022): 353–72. http://dx.doi.org/10.5486/pmd.2022.9252.

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14

Lai, Li, and Li Zhou. "At least two of $\zeta(5), \zeta(7), \ldots, \zeta(35)$ are irrational." Publicationes Mathematicae Debrecen 101, no. 3-4 (2022): 353–72. http://dx.doi.org/10.5486/pmd.2022.9252.

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15

Lai, Li, and Li Zhou. "At least two of $\zeta(5), \zeta(7), \ldots, \zeta(35)$ are irrational." Publicationes Mathematicae Debrecen 101, no. 3-4 (2022): 353–72. http://dx.doi.org/10.5486/pmd.2022.9252.

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16

Lai, Li, and Li Zhou. "At least two of $\zeta(5), \zeta(7), \ldots, \zeta(35)$ are irrational." Publicationes Mathematicae Debrecen 101, no. 3-4 (2022): 353–72. http://dx.doi.org/10.5486/pmd.2022.9252.

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17

KELLIHER, JAMES P., and RIAD MASRI. "Analytic continuation of multiple Hurwitz zeta functions." Mathematical Proceedings of the Cambridge Philosophical Society 145, no. 3 (2008): 605–17. http://dx.doi.org/10.1017/s0305004107001028.

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AbstractWe use a variant of a method of Goncharov, Kontsevich and Zhao [5, 16] to meromorphically continue the multiple Hurwitz zeta function to $\mathbb{C}^{d}$, to locate the hyperplanes containing its possible poles and to compute the residues at the poles. We explain how to use the residues to locate trivial zeros of $\zeta_{d}(s;\theta)$.

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18

Beasley, Bruce. "Zeta Hercules." Antioch Review 49, no. 2 (1991): 252. http://dx.doi.org/10.2307/4612368.

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19

Kurokawa, Nobushige, and Masato Wakayama. "Zeta extensions." Proceedings of the Japan Academy, Series A, Mathematical Sciences 78, no. 7 (2002): 126–30. http://dx.doi.org/10.3792/pjaa.78.126.

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20

Kuwata, Kazuo. "Protein Zeta." Seibutsu Butsuri 43, supplement (2003): S75. http://dx.doi.org/10.2142/biophys.43.s75_1.

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21

Bostock, David. "METAPHYSICS ZETA." Classical Review 52, no. 2 (2002): 258–59. http://dx.doi.org/10.1093/cr/52.2.258.

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22

Harrington, Robert S., Geoffery G. Douglass, and Charles E. Worley. "Zeta Cancri." International Astronomical Union Colloquium 135 (1992): 321–22. http://dx.doi.org/10.1017/s0252921100006679.

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AbstractZeta Cancri is a multiple system in which the well-observed orbit is an inner, or close one. Three-body coupling effects are an order of magnitude more significant for the close orbit in a hierarchical system, and they must be included. An exact numerical integration is very easy and requires no approximations. Inclusion of these effects improves the residuals for this system.

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23

Lewis, Richard. "Zeta malfunction." New Scientist 198, no. 2654 (2008): 20. http://dx.doi.org/10.1016/s0262-4079(08)61085-4.

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24

Kurokawa, Nobushige, and Masato Wakayama. "Zeta Regularizations." Acta Applicandae Mathematicae 81, no. 1 (2004): 147–66. http://dx.doi.org/10.1023/b:acap.0000024207.37694.3b.

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25

Ohno, Yasuo, and Wadim Zudilin. "Zeta stars." Communications in Number Theory and Physics 2, no. 2 (2008): 325–47. http://dx.doi.org/10.4310/cntp.2008.v2.n2.a2.

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26

Yıldırım, C. Yalçın. "A note on $\zeta ”(s)$ and $\zeta ”’(s)$." Proceedings of the American Mathematical Society 124, no. 8 (1996): 2311–14. http://dx.doi.org/10.1090/s0002-9939-96-03755-0.

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27

Ihara, Kentaro, Jun Kajikawa, Yasuo Ohno, and Jun-ichi Okuda. "Multiple zeta values vs. multiple zeta-star values." Journal of Algebra 332, no. 1 (2011): 187–208. http://dx.doi.org/10.1016/j.jalgebra.2010.12.029.

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28

Yamamoto, Shuji. "Interpolation of multiple zeta and zeta-star values." Journal of Algebra 385 (July 2013): 102–14. http://dx.doi.org/10.1016/j.jalgebra.2013.03.023.

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29

He, Yuan, and Zhuoyu Chen. "Some Weighted Sum Formulas for Multiple Zeta, Hurwitz Zeta, and Alternating Multiple Zeta Values." Journal of Mathematics 2021 (May 13, 2021): 1–16. http://dx.doi.org/10.1155/2021/6672532.

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We perform a further investigation for the multiple zeta values and their variations and generalizations in this paper. By making use of the method of the generating functions and some connections between the higher-order trigonometric functions and the Lerch zeta function, we explicitly evaluate some weighted sums of the multiple zeta, Hurwitz zeta, and alternating multiple zeta values in terms of the Bernoulli and Euler polynomials and numbers. It turns out that various known results are deduced as special cases.

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30

Laurinčikas, Antanas, and Darius Šiaučiūnas. "A remark on joint approximation by one Dirichlet series." Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, no. 54 (2023): 233–44. https://doi.org/10.71352/ac.54.233.

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We consider one absolutely convergent series zeta_{u_T}(s) connected to the Riemann zeta-function, and prove a theorem on joint approximation of analytic functions by shifts zeta_{u_T}(s+it_tau^{alpha_1}), ..., zeta_{u_T}(s+i t_tau^{alpha_r})) as T to infinity, where alpha_1, ..., alpha_r are fixed different positive numbers, t_tau is the Gram function, and u_T to infinity and u_T<< T^2 as T to infinity.

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31

Chan, V., TK Chan, ST Liang, A. Ghosh, YW Kan, and D. Todd. "Hydrops fetalis due to an unusual form of Hb H disease." Blood 66, no. 1 (1985): 224–28. http://dx.doi.org/10.1182/blood.v66.1.224.224.

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Abstract The occurrence of Hb H hydrops fetalis is reported for the first time. The mother has zeta-alpha thalassemia 1 (zeta zeta alpha alpha/----) and the father has non-deletion alpha thalassemia [zeta zeta alpha alpha/zeta zeta (alpha alpha)T]. The complete deletion of the zeta alpha cluster on one chromosome was confirmed by quantitation of alpha and zeta gene numbers, the normal alpha and zeta gene patterns arising from the remaining normal chromosome, and the decreased alpha/beta globin chain ratio of 0.57. The non-deletion alpha thalassemia defect could only be identified by the imbala

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32

Chan, V., TK Chan, ST Liang, A. Ghosh, YW Kan, and D. Todd. "Hydrops fetalis due to an unusual form of Hb H disease." Blood 66, no. 1 (1985): 224–28. http://dx.doi.org/10.1182/blood.v66.1.224.bloodjournal661224.

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The occurrence of Hb H hydrops fetalis is reported for the first time. The mother has zeta-alpha thalassemia 1 (zeta zeta alpha alpha/----) and the father has non-deletion alpha thalassemia [zeta zeta alpha alpha/zeta zeta (alpha alpha)T]. The complete deletion of the zeta alpha cluster on one chromosome was confirmed by quantitation of alpha and zeta gene numbers, the normal alpha and zeta gene patterns arising from the remaining normal chromosome, and the decreased alpha/beta globin chain ratio of 0.57. The non-deletion alpha thalassemia defect could only be identified by the imbalanced alph

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33

Andrea, J. E., та M. P. Walsh. "Identification of a brain-specific protein kinase Cζ pseudogene (ΨPKCζ) transcript". Biochemical Journal 310, № 3 (1995): 835–43. http://dx.doi.org/10.1042/bj3100835.

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Protein kinase C (PKC), a widely-distributed enzyme implicated in the regulation of many physiological processes, consists of a family of at least twelve isoenzymes which differ in tissue distribution, subcellular localization, regulatory properties, etc. In addition to this heterogeneity at the protein level, we identify here for the first time a PKC zeta pseudogene (psi PKC zeta) transcript, specifically expressed in the brain, which is identical with PKC zeta except for sequence divergence within the first variable domain (V1). The authenticity of this unique V1 sequence (V1′) in mRNA was c

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34

Dyall, Kenneth G. "Relativistic double-zeta, triple-zeta, and quadruple-zeta basis sets for the actinides Ac–Lr." Theoretical Chemistry Accounts 117, no. 4 (2006): 491–500. http://dx.doi.org/10.1007/s00214-006-0175-4.

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35

Gomes, André S. P., Kenneth G. Dyall, and Lucas Visscher. "Relativistic double-zeta, triple-zeta, and quadruple-zeta basis sets for the lanthanides La–Lu." Theoretical Chemistry Accounts 127, no. 4 (2010): 369–81. http://dx.doi.org/10.1007/s00214-009-0725-7.

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36

Ramanda, Puja, Asnil, and Pipit Anggraeni. "Rancang Bangun Zeta Converter untuk Charging Baterai." MSI Transaction on Education 5, no. 4 (2024): 207–18. https://doi.org/10.46574/mted.v5i4.151.

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Rancang Bangun Zeta Converter Untuk Charging Baterai bertujuan untuk merancang dan membangun Zeta Converter berbasis Arduino Uno, menghasilkan tegangan keluaran Zeta Converter sesuai dengan yang diinginkan, memonitoring serta mengontrol tegangan keluaran Zeta Converter dengan Visual basic. Kelebihan dari Zeta Converter yaitu memiliki ripple yang lebih kecil dibandingkan dengan buck boost konverter. Pengaturan untuk menghasilkan tegangan output yang diinginkan dengan mengatur besar duty cycle. Alat ini dimonitoring mengguankan Visual basic untuk mengetahui hasil tegangan output. Dari hasil peng

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37

LUKIĆ, Milica. "VOJISLAV P. NIKČEVIĆ - A RESEARCHER OF CYRILLO-METHODIAN ISSUES." Lingua Montenegrina 9, no. 1 (2009): 19–31. https://doi.org/10.46584/lm.v3i1.60.

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The author of this work deals with creating of an outline for the tracking of scientific contribution by Vojislav P. Nikčević in the area of research of Cyrillo-Methodian issues, a complex area that represents the oldest period of Slavonic literary and linguistic history in general and Montenegrin literary and linguistic history in particular. These issues are connected to the founders of the Old Slavonic language – Cyril and Methodius. Issues are also connected to the oldest literary language of Old Slavs, the orthography this language was recorded in, also with Old Slavonic liturgy, and furt

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38

Tekrony, Amy, and David Cramb. "Determination of the mobility of amine- and carboxy-terminated fluospheres and quantum dots by capillary electrophoresis." Canadian Journal of Chemistry 94, no. 4 (2016): 430–35. http://dx.doi.org/10.1139/cjc-2015-0349.

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The pharmacokinetics of nanoparticle (NP) theranostics can, in principle, be predicted based on NP size and zeta potential. Zeta potentials are typically measured using bench top zetasizer instruments, which calculate zeta potential based on mobility data collected from solutions in a small sample cell. However, correlations between zeta potentials measured by zetasizer instruments and those calculated from mobilities determined by instruments designed for capillary electrophoresis may not be direct. To that end, mobilities of a variety of NPs were determined by a capillary electrophoresis and

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39

Vaitekhovich, Tatyana S. "Biharmonic Green function of a ring domain." MATHEMATICA SCANDINAVICA 106, no. 2 (2010): 267. http://dx.doi.org/10.7146/math.scand.a-15137.

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A biharmonic Green function of a circular ring domain $R=\{z\in \mathsf {C}: 0<r<|z|<1\}$ is found in the form 26741 \widehat{G}_{2}(z,\zeta)=|\zeta-z|^{2}G_{1}(z,\zeta)+\widehat{h}_{2}(z,\zeta), 26741 where $G_{1}(z,\zeta)$ is the harmonic Green function of the ring $R$, and $\widehat{h}_{2}(z,\zeta)$ is a specially constructed biharmonic function.

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40

Shores, E., V. Flamand, T. Tran, A. Grinberg, J. P. Kinet, and P. E. Love. "Fc epsilonRI gamma can support T cell development and function in mice lacking endogenous TCR zeta-chain." Journal of Immunology 159, no. 1 (1997): 222–30. http://dx.doi.org/10.4049/jimmunol.159.1.222.

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Abstract Fc epsilonRI gamma (Fc gamma) is a member of the zeta family of signal transducing molecules that function as components of both the TCR and Fc receptors (FcR). While the majority of thymocytes and T cells express TCRs containing zeta-chain homodimers, certain unique populations of T cells express TCRs that contain both zeta and Fc gamma. To examine the ability of Fc gamma to substitute for zeta-chain in T cell development and function, we introduced a transgene encoding Fc gamma into mice made genetically deficient for zeta-chain (zeta(e)-/-). Analysis of thymocyte development in zet

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41

TANAKA, Hidekazu. "GAMMA FACTORS OF ZETA FUNCTIONS AS ABSOLUTE ZETA FUNCTIONS." Kyushu Journal of Mathematics 74, no. 2 (2020): 441–49. http://dx.doi.org/10.2206/kyushujm.74.441.

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42

Komori, Yasushi, Kohji Matsumoto, and Hirofumi Tsumura. "Multiple zeta values and zeta-functions of root systems." Proceedings of the Japan Academy, Series A, Mathematical Sciences 87, no. 6 (2011): 103–7. http://dx.doi.org/10.3792/pjaa.87.103.

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43

Watanabe, Tsuguturo. "Efficient Computation of the Plasma Dipersion Function .ZETA.(.ZETA.)." Kakuyūgō kenkyū 65, no. 5 (1991): 556–80. http://dx.doi.org/10.1585/jspf1958.65.556.

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44

Weng, Lin, and Don Zagier. "Higher-rank zeta functions andSLn-zeta functions for curves." Proceedings of the National Academy of Sciences 117, no. 12 (2020): 6398–408. http://dx.doi.org/10.1073/pnas.1912501117.

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In earlier papers L.W. introduced two sequences of higher-rank zeta functions associated to a smooth projective curve over a finite field, both of them generalizing the Artin zeta function of the curve. One of these zeta functions is defined geometrically in terms of semistable vector bundles of rank n over the curve and the other one group-theoretically in terms of certain periods associated to the curve and to a split reductive group G and its maximal parabolic subgroup P. It was conjectured that these two zeta functions coincide in the special case whenG=SLnand P is the parabolic subgroup c

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45

Sarnak, P. "Quantum Chaos, Symmetry, and Zeta functions, II: Zeta Functions." Current Developments in Mathematics 1997, no. 1 (1997): 145–59. http://dx.doi.org/10.4310/cdm.1997.v1997.n1.a4.

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46

Sasaki, Yoshitaka. "Zeta Mahler measures, multiple zeta values and L-values." International Journal of Number Theory 11, no. 07 (2015): 2239–46. http://dx.doi.org/10.1142/s1793042115501006.

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The zeta Mahler measure is the generating function of higher Mahler measures. In this article, explicit formulas of higher Mahler measures, and relations between higher Mahler measures and multiple zeta (star) values are showed by observing connections between zeta Mahler measures and the generating functions of multiple zeta (star) values. Additionally, connections between higher Mahler measures and Dirichlet L-values associated with primitive quadratic characters are discussed.

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47

Quan, Junjie. "Explicit formulas of alternating multiple zeta star values $ \zeta^\star({\bar 1}, \{1\}_{m-1}, {\bar 1}) $ and $ \zeta^\star(2, \{1\}_{m-1}, {\bar 1}) $." AIMS Mathematics 7, no. 1 (2021): 288–93. http://dx.doi.org/10.3934/math.2022019.

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<abstract><p>In a recent paper <sup>[<xref ref-type="bibr" rid="b4">4</xref>]</sup>, Xu studied some alternating multiple zeta values. In particular, he gave two recurrence formulas of alternating multiple zeta values $ \zeta^\star({\bar 1}, \{1\}_{m-1}, {\bar 1}) $ and $ \zeta^\star(2, \{1\}_{m-1}, {\bar 1}) $. In this paper, we will give the closed forms representations of $ \zeta^\star({\bar 1}, \{1\}_{m-1}, {\bar 1}) $ and $ \zeta^\star(2, \{1\}_{m-1}, {\bar 1}) $ in terms of single zeta values and polylogarithms.</p></abstract>

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48

Yin, Tao, Wanli Yang, Wenxian Zhang, Meng Wu, Xiugang Yu, and Xingchang Han. "Research on Suppressing Commutation Torque Ripple of BLDCM Based on Zeta Converter." Machines 12, no. 9 (2024): 592. http://dx.doi.org/10.3390/machines12090592.

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Torque ripple in a brushless DC motor (BLDCM) seriously restricts its application in high-performance fields. This paper proposes a commutation torque ripple suppression strategy based on a Zeta converter. The expected output voltage of a Zeta converter that suppresses the commutation torque ripple is obtained, according to the effect of the duty ratio of the Zeta converter on the turn-off phase freewheeling duration and the turn-on phase rising duration, during commutation. Based on the analysis of the dynamic response of the Zeta converter, the Zeta converter is adjusted to ensure that the Z

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49

Dyall, Kenneth G. "Relativistic double-zeta, triple-zeta, and quadruple-zeta basis sets for the 5d elements Hf?Hg." Theoretical Chemistry Accounts 112, no. 5-6 (2004): 403–9. http://dx.doi.org/10.1007/s00214-004-0607-y.

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Dyall. "Relativistic double-zeta, triple-zeta, and quadruple-zeta basis sets for the 5d elements Hf–Hg." Theoretical Chemistry Accounts 112, no. 5-6 (2004): 403. http://dx.doi.org/10.1007/s00214-004-607-y.

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