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The Proof and Application of a Summation Formula

The Proof and Application of a Summation Formula
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摘要 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. 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.
作者 Yongmin Wang Yongmin Wang(Huimin Branch of Shandong Hengtai Engineering Group Co., Ltd., Binzhou, China)
出处 《Advances in Pure Mathematics》 2022年第9期541-559,共19页 理论数学进展(英文)
关键词 Abel Summation Formula Mertens a Prime Number Theorem Dirichlet Function Conclusion Improvement Abel Summation Formula Mertens a Prime Number Theorem Dirichlet Function Conclusion Improvement
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