Results 121 to 130 of about 82,476 (235)
The Profiles of Riemann Surfaces [PDF]
arXiv, 2020 Riemann surfaces which are set by algebraic, algebroid and inverse functions are considered. A method for describing these Riemann surfaces by graphs is proposed. Each such Riemann surface is assigned to a special type of graph - profile. In terms of graph theory, the necessary and sufficient conditions of profile existence are clarified.
arxiv
Counting zeros of the Riemann zeta function [PDF]
Journal of Number Theory, 2021 Elchin Hasanalizade +2 more
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The Extension of the Riemann’s Zeta Function
International Journal of Basic Sciences and Applied ComputingIn mathematics, the search for exact formulas giving all the prime numbers, certain families of prime numbers or the n-th prime number has generally proved to be vain, which has led to contenting oneself with approximate formulas [8]. The purpose of this article is to give a new proof of the Riemann hypothesis [4]-which is closely related to the ...
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Modified Riemann sums of Riemann-Stieltjes integrable functions [PDF]
arXiv, 2019 In this paper, motivated by physical considerations, we introduce the notion of modified Riemann sums of Riemann-Stieltjes integrable functions, show that they converge, and compute them explicitely under various assumptions.
arxiv
Extreme values of derivatives of the Riemann zeta function. [PDF]
Mathematika, 2022 Yang D.
europepmc +1 more source
An inequality for the Selberg zeta-function, associated to the compact Riemann surface
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 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
Lietuvos Matematikos Rinkinys, 2011 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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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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Matrix model for Riemann zeta via its local factors
Nuclear Physics B, 2020 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
doaj
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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