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   Study of Analytic Number Theory
 

Study Of Analytic Number Theory

by Lukasz Andrzej Glinka

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Description: Exploring several classical issues of modern mathematics, this monograph is a historical and research study while the historical section focuses on Riemann’s Zeta function and related problems. The research encompasses number theorem and Riemann’s hypothesis, distribution of prime numbers, binomial regularization of Riemann’s zeta function and partitions of a positive integer based on Hardly-Ramanujan-Rademacher’s formula. This study is helpful for the mathematicians working in number theory, combinatorics, mathematical analysis function theory, and their applications.

In this book:

• Brief Historical Overview
• Prime Number Theorem & Riemann’s Hypothesis
• Distribution of Prime Numbers
• Binomial Regularization
• Addendum: Integer Partitions

Contents: Brief Historical Overview • Riemann’s Zeta Function • Mertens’s Conjecture • Prime Number Theorem • Prime Number Theorem & Riemann’s Hypothesis • Distribution of Prime Numbers • Binomial Regularization • Addendum: Integer Partitions • Bibliography • IndexISBN - 9788130922980
 


Pages : 112
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