Results 111 to 120 of about 71,062 (275)

Matrix model for Riemann zeta via its local factors

open access: yesNuclear 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  

An inequality for the Selberg zeta-function, associated to the compact Riemann surface

open access: yesAnalele 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
doaj   +1 more source

Joint universality of the Riemann zeta-function and Lerch zeta-functions

open access: yesNonlinear 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
doaj  

On the Modulus of the Selberg Zeta-Functions in the Critical Strip

open access: yesMathematical 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
doaj   +1 more source

Partial Sums of the Hurwitz and Allied Functions and Their Special Values

open access: yesMathematics
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
doaj   +1 more source

Some computational formulas related the Riemann zeta-function tails

open access: yesJournal 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
doaj   +1 more source

A two-dimensional limit discrete theorem for Mellin transforms of the Riemann zeta-function

open access: yesLietuvos Matematikos Rinkinys, 2007
In the paper two-dimensional limit theorem for the modified Mellin transform of the Riemann zeta-function is obtained.
Violeta Balinskaitė
doaj   +1 more source

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