GOLDBACH REPRESENTATIONS IN ARITHMETIC PROGRESSIONS AND ZEROS OF DIRICHLET L ‐FUNCTIONS-Reference-Cited by-同舟云学术

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GOLDBACH REPRESENTATIONS IN ARITHMETIC PROGRESSIONS AND ZEROS OF DIRICHLET L ‐FUNCTIONS

Published:2018-08-24 Issue:1 Volume:65 Page:57-97
ISSN:0025-5793
Container-title:Mathematika
language:en
Short-container-title:Mathematika

Author:

Bhowmik Gautami¹,Halupczok Karin²,Matsumoto Kohji³,Suzuki Yuta³

Affiliation:

1. Laboratoire Paul PainlevéLabex‐Cempi Université Lille 1 59655 Villeneuve d'Ascq Cedex France

2. Mathematisch‐Naturwissenschaftliche FakultätHeinrich‐Heine‐Universität Düsseldorf Universitätsstr. 1 40225 Düsseldorf Germany

3. Graduate School of MathematicsNagoya University Furocho, Chikusa‐ku Nagoya 464‐8602 Japan

Funder

Japan Society for the Promotion of Science

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1112/S0025579318000323

Reference17 articles.

1. Goldbach's conjecture in arithmetic progressions: number and size of exceptional prime moduli;Bauer C.;Arch. Math.,2016

2. Average Goldbach and the Quasi‐Riemann hypothesis;Bhowmik G.;Anal. Math.,2018

3. Mean representation number of integers as the sum of primes;Bhowmik G.;Nagoya Math. J.,2010

4. Meromorphic continuation of the Goldbach generating function;Bhowmik G.;Funct. Approx. Comment. Math.,2011

5. The Riemann hypothesis;Conrey J. B.;Notices Amer. Math. Soc.,2003

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1. On Existence of Prime K-Tuples Conjecture for Positive Proportion of Admissible K-Tuples;BAGHDAD SCI J;2024

2. Double Dirichlet series associated with arithmetic functions II;Kodai Mathematical Journal;2023-03-15

3. ON AN AVERAGE GOLDBACH REPRESENTATION FORMULA OF FUJII;Nagoya Mathematical Journal;2023-01-17

4. On a Smoothed Average of the Number of Goldbach Representations;Number Theory in Memory of Eduard Wirsing;2023

5. Exceptional zeros, sieve parity, Goldbach;Essential Number Theory;2022-10-26

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