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
Lectures on Analytic Number Theoryby H. Rademacher - Tata Institute of Fundamental Research
In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. Contents: Formal Power Series; Analysis; Analytic theory of partitions; Representation by squares.
(9393 views)
Lectures on The Riemann Zeta-Functionby 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.
(12975 views)
Lectures on Forms of Higher Degreeby 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.
(10479 views)
Diophantine Analysisby 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.
(13312 views)