On an Average Goldbach Representation Formula of Fujii

Autor:	DANIEL A. GOLDSTON, ADE IRMA SURIAJAYA
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Mathematics - Number Theory Mathematics::General Mathematics General Mathematics Mathematics::Number Theory FOS: Mathematics Number Theory (math.NT) 11M26 11N05 11N37 11P32
Popis:	Fujii obtained a formula for the average number of Goldbach representations with lower order terms expressed as a sum over the zeros of the Riemann zeta-function and a smaller error term. This assumed the Riemann Hypothesis. We obtain an unconditional version of this result, and obtain applications conditional on various conjectures on zeros of the Riemann zeta-function. 22 pages, to appear in Nagoya Math. J
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c873a16d98b244f58de41b52763ad2f9 http://arxiv.org/abs/2110.14250 Zobrazit plný text záznamu