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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The aim of this text is to provide an introduction to modern sieve methods, i.e. to various forms of both the large sieve (part I of the book) and the small sieve (part II), as well as their interconnections and applications.
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