Results 81 to 90 of about 30,359 (214)
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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On the periodic zeta-function with rational parameter
We obtain an asymptotic formula with estimated error term for the fourth power moment of the periodic zeta-function with rational parameter.
Sondra Černigova
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Implications of Lee-Yang Theorem In Quantum Gravity
The contributions of this note are twofold: First, it gives a generic recipe to apply Lee-Yang Theorem to solutions of Einstein field equations. Secondly, this existence of the applicability of Lee-Yang Theorem on a partition function of spacetime ...
Chuang, William Huanshan
core
The distribution of the logarithmic derivative of the Riemann zeta-function [PDF]
Stephen Lester
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Discrete universality for Matsumoto zeta-functions and the nontrivial zeros of the Riemann zeta-function [PDF]
Keita Nakai
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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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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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A Positivity Conjecture Related to the Riemann Zeta Function [PDF]
Hugues Bellemare +2 more
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Riemann's ''second proof'' of the functional equation for \(\zeta\) (s) depends on the inversion formula for a classical theta-function, and consists in proving for \(\pi^{-s/2} \Gamma (s/2) \zeta (s)\) an expression which remains invariant if s is replaced by \(1-s.\) Generalizing this approach, the authors introduce certain polynomials \(p_ j(s ...
Bump, Daniel, Ng, Eugene K.-S.
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