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ON AN AVERAGE GOLDBACH REPRESENTATION FORMULA OF FUJII
Published online by Cambridge University Press: 17 January 2023
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.
- © The Author(s), 2023. Published by Cambridge University Press on behalf of Foundation Nagoya Mathematical Journal
Suriajaya was supported by Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant Numbers 18K13400 and 22K13895, and also by the Ministry of Education, Culture, Sports, Science and Technology Initiative for Realizing Diversity in the Research Environment.