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An M-function associated with Goldbach's problem - MaRDI portal

An M-function associated with Goldbach's problem (Q5036308)

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scientific article; zbMATH DE number 7479745

Language	Label	Description	Also known as
English	An M-function associated with Goldbach's problem	scientific article; zbMATH DE number 7479745

Statements

scholarly article

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Kohji Matsumoto

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publication date

23 February 2022

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full work available at URL

https://arxiv.org/abs/2101.07446

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http://www.mathjournals.org/jrms/2021-036-004/2021-036-004-010.html

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zbMATH Keywords

Goldbach's conjecture

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Riemann zeta-function

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density functions

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.NT

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Value-distribution of cubic Hecke \(L\)-functions

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Asymptotics of Goldbach representations

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GOLDBACH REPRESENTATIONS IN ARITHMETIC PROGRESSIONS AND ZEROS OF DIRICHLET <i>L</i> ‐FUNCTIONS

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Average Goldbach and the quasi-Riemann hypothesis

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Mean representation number of integers as the sum of primes

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Über die Werteverteilung der Riemannschen Zetafunktion. II. Mitt.: Das Verhalten der Funktion im Streifen \({1\over 2}<\sigma\leq 1\)

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CONVOLUTIONS OF THE VON MANGOLDT FUNCTION AND RELATED DIRICHLET SERIES

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An additive problem of prime numbers

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An additive problem of prime numbers. II

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An additive problem of prime numbers. III

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Corrigendum to ``Refinements of Goldbach's conjecture, and the generalized Riemann hypothesis''

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On ``\(M\)-functions'' closely related to the distribution of \(L'/L\)-values

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ON CERTAIN MEAN VALUES AND THE VALUE-DISTRIBUTION OF LOGARITHMS OF DIRICHLET L-FUNCTIONS

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On the Value-Distribution of Logarithmic Derivatives of Dirichlet L-Functions

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Distribution Functions and the Riemann Zeta Function

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The number of Goldbach representations of an integer

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On M-functions associated with modular forms

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On the magnitude of asymptotic probability measures of Dedekind zeta-functions and other Euler products

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Asymptotic probability measures of zeta-functions of algebraic number fields

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On the value-distribution of the difference between logarithms of two symmetric power L-functions

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On the density function for the value-distribution of automorphic \(L\)-functions

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On \(M\)-functions for the value-distributions of \(L\)-functions

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On certain mean values of logarithmic derivatives of \(L\)-functions and the related density functions

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The density function for the value-distribution of the Lerch zeta-function and its applications

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Oscillations in weighted arithmetic sums

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A mean value of the representation function for the sum of two primes in arithmetic progressions

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5036308

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