Results 111 to 120 of about 71,062 (275)
Matrix model for Riemann zeta via its local factors
We propose the construction of an ensemble of unitary random matrices (UMM) for the Riemann zeta function. Our approach to this problem is ‘p-iecemeal’, in the sense that we consider each factor in the Euler product representation of the zeta function to
Arghya Chattopadhyay+3 more
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An inequality for the Selberg zeta-function, associated to the compact Riemann surface
We consider the absolute values of the Selberg zeta-function, associated to the compact Riemann surface, at places symmetric with respect to the line ℛ(s) = 1/2. We prove an inequality for the Selberg zeta-function, extending the result of R.
Belovas Igoris
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Joint universality of the Riemann zeta-function and Lerch zeta-functions
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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On the Modulus of the Selberg Zeta-Functions in the Critical Strip
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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Partial Sums of the Hurwitz and Allied Functions and Their Special Values
We 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
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 two-dimensional limit discrete theorem for Mellin transforms of the Riemann zeta-function
In the paper two-dimensional limit theorem for the modified Mellin transform of the Riemann zeta-function is obtained.
Violeta Balinskaitė
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On closure problems and the zeros of the Riemann zeta function [PDF]
Norman Levinson
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