**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

**Distribution of Prime Numbers**

by

**W W L Chen**-

**Macquarie University**

These notes were used by the author at Imperial College, University of London. The contents: arithmetic functions, elementary prime number theory, Dirichlet series, primes in arithmetic progressions, prime number theorem, Riemann zeta function.

(

**14220**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.

(

**9551**views)

**Lectures on The Riemann Zeta-Function**

by

**K. Chandrasekharan**-

**Tata Institute of Fundamental Research**

These notes provide an intorduction to the theory of the Riemann Zeta-function for students who might later want to do research on the subject. The Prime Number Theorem, Hardy's theorem, and Hamburger's theorem are the principal results proved here.

(

**12763**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.

(

**13105**views)