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The Proof and Application of a Summation Formula
Huimin Branch of Shandong Hengtai Engineering Group Co., Ltd., Binzhou, China
- 1 Huimin Branch of Shandong Hengtai Engineering Group Co., Ltd., Binzhou, China
Advances in Pure Mathematics·Volume 12 (2022)·Pages 541–559·Published 7 September 2022·DOI10.4236/apm.2022.129042
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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.
KeywordsAbel Summation FormulaMertens a Prime Number TheoremDirichlet FunctionConclusion Improvement
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