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VOL. 84 | 2020 Asymptotics of Goldbach representations
Gautami Bhowmik, Karin Halupczok

Editor(s) Hidehiko Mishou, Takashi Nakamura, Masatoshi Suzuki, Yumiko Umegaki

Adv. Stud. Pure Math., 2020: 1-21 (2020) DOI: 10.2969/aspm/08410001

Abstract

We present a historical account of the asymptotics of classical Goldbach representations with special reference to the equivalence with the Riemann Hypothesis. When the primes are chosen from an arithmetic progression comparable but weaker relationships exist with the zeros of $L$-functions.

Information

Published: 1 January 2020
First available in Project Euclid: 27 May 2020

zbMATH: 07283179

Digital Object Identifier: 10.2969/aspm/08410001

Subjects:
Primary: 11M26 , 11M41 , 11P32

Keywords: Dirichlet $L$-function , exceptional sets , Goldbach problem , Riemann hypothesis , Siegel zero

Rights: Copyright © 2020 Mathematical Society of Japan

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