English

An M-function associated with Goldbach's problem

Number Theory 2021-03-19 v2

Abstract

We prove the existence of the M-function, by which we can state the limit theorem for the value-distribution of the main term in the asymptotic formula for the summatory function of the Goldbach generating function.

Cite

@article{arxiv.2101.07446,
  title  = {An M-function associated with Goldbach's problem},
  author = {Kohji Matsumoto},
  journal= {arXiv preprint arXiv:2101.07446},
  year   = {2021}
}

Comments

16pages

R2 v1 2026-06-23T22:18:07.242Z