Analytic Number Theory
by Giuseppe Rauti
Publisher: viXra 2013
Number of pages: 96
The aim of this paper is to present some topics in analytic number theory: classical results in prime number theory, the Dirichlet's theorem on primes in arithmetic progressions (1837), the analytic proof of the prime number theorem by D. J. Newman (1980), the Riemann Hypothesis (1859); furthermore, a few proofs of results based on the Dirichlet hyperbola method and Iseki-Tatuzawa lemma.
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by A.J. Hildebrand - University of Illinois
Contents: Primes and the Fundamental Theorem of Arithmetic; Arithmetic functions (Elementary theory, Asymptotic estimates, Dirichlet series and Euler products); Distribution of primes; Primes in arithmetic progressions - Dirichlet's Theorem.
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