TITLE:
The Proof and Application of a Summation Formula
AUTHORS:
Yongmin Wang
KEYWORDS:
Abel Summation Formula, Mertens a Prime Number Theorem, Dirichlet Function, Conclusion Improvement
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.12 No.9,
September
27,
2022
ABSTRACT: In this paper, some conclusions related to the prime number theorem, such as the Mertens formula are improved by the improved Abelian summation formula, and some problems such as “Dirichlet” function and “W(n)” function are studied.