Об одном доказательстве интегрального представления дзета-функции Римана

This article is devoted to one proof of the integral representation for the Riemann zeta- function. The idea presented in this proof can be useful in studying generalizations of the Riemann zeta- function and constructing integral representations for these generalizations. This integral representation for the Riemann zeta-function is used to obtain a functional relation for it

Publication Details

Journal
SibFU Digital Repository (Siberian Federal University)
Published
2025-10-20
Primary Topic
Analytic and geometric function theory
Type
article
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article

Об одном доказательстве интегрального представления дзета-функции Римана

SibFU Digital Repository (Siberian Federal University)
Analytic and geometric function theory
article

Об одном доказательстве интегрального представления дзета-функции Римана

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Abstract

This article is devoted to one proof of the integral representation for the Riemann zeta- function. The idea presented in this proof can be useful in studying generalizations of the Riemann zeta- function and constructing integral representations for these generalizations. This integral representation for the Riemann zeta-function is used to obtain a functional relation for it

SibFU Digital Repository (Siberian Federal University)
Openalex Percentile: Top 25%
Analytic and geometric function theory
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Об одном доказательстве интегрального представления дзета-функции Римана · SibFU Digital Repository (Siberian Federal University) (2025) | TGRS Research Map | TGRS