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arXiv · 2110.14250

On an Average Goldbach Representation Formula of Fujii

D. A. Goldston·Ade Irma Suriajaya
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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.

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D. A. Goldston, Ade Irma Suriajaya. 2021-10-27. On an Average Goldbach Representation Formula of Fujii. https://doi.org/10.1017/nmj.2022.44

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