Results 101 to 110 of about 552,780 (265)
On the Modulus of the Selberg Zeta-Functions in the Critical Strip
Mathematical Modelling and Analysis, 2015 We investigate the behavior of the real part of the logarithmic derivatives of the Selberg zeta-functions ZPSL(2,Z)(s) and ZC (s) in the critical strip 0 < σ < 1.
Andrius Grigutis, Darius Šiaučiūnas
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Joint universality of the Riemann zeta-function and Lerch zeta-functions
Nonlinear Analysis, 2013 In the paper, we prove a joint universality theorem for the Riemann zeta-function and a collection of Lerch zeta-functions with parameters algebraically independent over the field of rational numbers.
Antanas Laurinčikas +1 more
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Partial Sums of the Hurwitz and Allied Functions and Their Special Values
MathematicsWe supplement the formulas for partial sums of the Hurwitz zeta-function and its derivatives, producing more integral representations and generic definitions of important constants.
Nianliang Wang +2 more
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Some computational formulas related the Riemann zeta-function tails
Journal of Inequalities and Applications, 2016 In this paper we present two computational formulae for one kind of reciprocal sums related to the Riemann zeta-function at integer points s = 4 , 5 $s=4,5$ , which answers an open problem proposed by Lin (J. Inequal. Appl. 2016:32, 2016).
Hongmin Xu
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A New Representation of the Riemann Zeta Function $ζ(s)$ [PDF]
arXiv, 1998 A generalization of a well-known relation between the Riemann zeta function $\zeta(s)$ and Bernoulli numbers $B_n$ is obtained. The formula is a new representation of the Riemann zeta function in terms of a nested series of Bernoulli numbers.
arxiv
Correlations of the Riemann zeta function
MathematikaAbstractAssuming the Riemann hypothesis, we investigate the shifted moments of the zeta function introduced by Chandee Q. J. Math. 62(2011), no. 3, 545–572, where and satisfy and . We shall prove This improves upon the previous best known bounds due to Chandee and Ng, Shen, and Wong [Can. J. Math. Published online 2023:1–31.
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Riemann Zeta Function and Quantum Chaos [PDF]
Progress of Theoretical Physics Supplement, 2007 Lecture given at International Conference on Quantum Mechanics and Chaos, Osaka, September ...
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On closure problems and the zeros of the Riemann zeta function [PDF]
, 1956 Norman Levinson
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