**Analytic Number Theory**

by Giuseppe Rauti

**Publisher**: viXra 2013**Number of pages**: 96

**Description**:

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.

Download or read it online for free here:

**Download link**

(580KB, PDF)

## Similar books

**Diophantine Analysis**

by

**R. D. Carmichael**-

**John Wiley & Sons**

The author's purpose has been to supply the reader with a convenient introduction to Diophantine Analysis. No attempt has been made to include all special results, but a large number of them are to be found both in the text and in the exercises.

(

**8013**views)

**Lectures on Forms of Higher Degree**

by

**J.I. Igusa**-

**Tata Institute of Fundamental Research**

One of the principal objectives of modern number theory must be to develop the theory of forms of degree more than two,to the same satisfactory level in which the theory of quadratic forms is found today as the work of eminent mathematicians.

(

**5414**views)

**Lectures on Sieve Methods**

by

**H.E. Richert**-

**Tata Institute of Fundamental Research**

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.

(

**5152**views)

**Introduction to Analytic Number Theory**

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.

(

**7104**views)