Relevant bibliographies by topics / Zeta and L-functions

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  1. Journal articles

Academic literature on the topic 'Zeta and L-functions'

Author: Grafiati
Published: 4 June 2021
Last updated: 16 February 2022

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Journal articles on the topic "Zeta and L-functions"

1

Wan, Daqing. "Newton Polygons of Zeta Functions and L Functions." Annals of Mathematics 137, no. 2 (1993): 249. http://dx.doi.org/10.2307/2946539.

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2

Fujii, Akio. "Zeta zeros and Dirichlet $L$-functions." Proceedings of the Japan Academy, Series A, Mathematical Sciences 64, no. 6 (1988): 215–18. http://dx.doi.org/10.3792/pjaa.64.215.

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3

Fujii, Akio. "Zeta zeros and Dirichlet $L$-functions, II." Proceedings of the Japan Academy, Series A, Mathematical Sciences 64, no. 8 (1988): 296–99. http://dx.doi.org/10.3792/pjaa.64.296.

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4

Soundararajan, K. "Extreme values of zeta and L-functions." Mathematische Annalen 342, no. 2 (2008): 467–86. http://dx.doi.org/10.1007/s00208-008-0243-2.

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5

Fujii, Akio. "Zeta zeros, Hurwitz zeta functions and $L\left( {1,\chi } \right)$." Proceedings of the Japan Academy, Series A, Mathematical Sciences 65, no. 5 (1989): 139–42. http://dx.doi.org/10.3792/pjaa.65.139.

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6

HASHIMOTO, KI-ICHIRO. "ON ZETA AND L-FUNCTIONS OF FINITE GRAPHS." International Journal of Mathematics 01, no. 04 (1990): 381–96. http://dx.doi.org/10.1142/s0129167x90000204.

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7

Bombieri, E. "The Classical Theory of Zeta and L-Functions." Milan Journal of Mathematics 78, no. 1 (2010): 11–59. http://dx.doi.org/10.1007/s00032-010-0121-8.

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8

KUROKAWA, NOBUSHIGE, MASATO WAKAYAMA, and YOSHINORI YAMASAKI. "RUELLE TYPE L-FUNCTIONS VERSUS DETERMINANTS OF LAPLACIANS FOR TORSION FREE ABELIAN GROUPS." International Journal of Mathematics 19, no. 08 (2008): 957–79. http://dx.doi.org/10.1142/s0129167x08004959.

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Abstract:
We study Ruelle's type zeta and L-functions for a torsion free abelian group Γ of rank ν ≥ 2 defined via an Euler product. It is shown that the imaginary axis is a natural boundary of this zeta function when ν = 2, 4 and 8, and in particular, such a zeta function has no determinant expression. Thus, conversely, expressions like Euler's product for the determinant of the Laplacians of the torus ℝν/Γ defined via zeta regularizations are investigated. Also, the limit behavior of an arithmetic function arising from the Ruelle type zeta function is observed.
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9

Janulis, Kęstutis, Antanas Laurinčikas, Renata Macaitienė, and Darius Šiaučiūnas. "JOINT UNIVERSALITY OF DIRICHLET L-FUNCTIONS AND PERIODIC HURWITZ ZETA-FUNCTIONS." Mathematical Modelling and Analysis 17, no. 5 (2012): 673–85. http://dx.doi.org/10.3846/13926292.2012.735260.

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In the paper, we prove that every system of analytic functions can be approximated simultaneously uniformly on compact subsets of some region by a collection consisting of shifts of Dirichlet L-functions with pairwise non-equivalent characters and periodic Hurwitz zeta-functions with parameters algebraically independent over the field of rational numbers.
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10

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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