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
