**Lectures on a Method in the Theory of Exponential Sums**

by M. Jutila

**Publisher**: Tata Institute of Fundamental Research 1987**ISBN/ASIN**: 3540183663**ISBN-13**: 9783540183662**Number of pages**: 134

**Description**:

It was my first object to present a selfcontained introduction to summation and transformation formulae for exponential sums involving either the divisor function d(n) or the Fourier coefficients of a cusp form; these two cases are in fact closely analogous. Secondly, I wished to show how these formulae can be applied to the estimation of the exponential sums in question.

Download or read it online for free here:

**Download link**

(750KB, PDF)

## Similar books

**On Advanced Analytic Number Theory**

by

**C.L. Siegel**-

**Tata Institute of Fundamental Research**

During the winter semester 1959/60, the author delivered a series of lectures on Analytic Number Theory. It was his aim to introduce his hearers to some of the important and beautiful ideas which were developed by L. Kronecker and E. Hecke.

(

**5351**views)

**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.

(

**7342**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.

(

**6267**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.

(

**4764**views)