Publication Date

1-17-2023

Document Type

Article

Publication Title

Nagoya Mathematical Journal

Volume

250

DOI

10.1017/nmj.2022.44

First Page

511

Last Page

532

Abstract

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.

Funding Number

18K13400

Funding Sponsor

Japan Society for the Promotion of Science

Keywords

11M26 11N05 11N37 11P32

Comments

This is a post-peer-review, pre-copy edit version of an article published in Nagoya Mathematical Journal, 2023. The final authenticated version is available online at: https://doi.org/10.1017/nmj.2022.44.

Department

Mathematics and Statistics

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