Study of Analytic Number Theory : Riemann's Hypothesis and Prime Number Theorem with Addendum on Integer Partitions

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  • Edition: Revised
  • Format: Paperback
  • Copyright: 2013-01-10
  • Publisher: Ingram Pub Services

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This monograph explores several classical issues of modern mathematics, and discusses both the historical and research aspects. The brief historical part is focused on Riemann┐s zeta function and few related problems. The research part starts from direct formulation of simple proofs of both the prime number theorem and Riemann┐s hypothesis, two intriguing problems of modern mathematics, which applies the concept of Mertens┐s function and is based on Apostol┐s and Littlewood┐s criterions of equivalence.

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