On an Average Goldbach Representation Formula of Fujii

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...

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Bibliographic Details
Published in:arXiv.org
Main Authors: Goldston, D A, Ade, Irma Suriajaya
Format: Paper
Language:English
Published: Ithaca Cornell University Library, arXiv.org 20.12.2022
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ISSN:2331-8422
Online Access:Get full text
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