Exponential Sums and their Applications / Mathematics and its Applications N.M. Korobov

By:

N.M Korobov

Contributor(s):

Shakhov.Yu.N

9780792316473

Subject(s):

Exponential Sums

DDC classification:

512.7 KroE

Summary: The method of exponential sums is a general method enabling the solution of a wide range of problems in the theory of numbers and its applications. This volume presents an exposition of the fundamentals of the theory with the help of examples which show how exponential sums arise and how they are applied in problems of number theory and its applications.The material is divided into three chapters which embrace the classical results of Gauss, and the methods of Weyl, Mordell and Vinogradov; the traditional applications of exponential sums to the distribution of fractional parts, the estimation of the Riemann zeta function; and the theory of congruences and Diophantine equations. Some new applications of exponential sums are also included. It is assumed that the reader has a knowledge of the fundamentals of mathematical analysis and of elementary number theory.

List(s) this item appears in: New Arrivals 01st-15th April 2026, Vol. 07, Issue 06

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Item type	Current library	Collection	Call number	Copy number	Status	Barcode
Books	Indian Institute of Technology Tirupati General Stacks	Mathematics	512.7 KroE (12534) (Browse shelf(Opens below))	1	Available	12534

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Previous	512.7 KOB/C A course in number theory and cryptography /	512.7 KOB/C A course in number theory and cryptography /	512.7 KonP 1001 Problems in Classical Number Theory /	512.7 KroE (12534) Exponential Sums and their Applications / Mathematics and its Applications	512.7 LamI Introduction to Quadratic Forms Over Fields /	512.7 LomL (12518) L-Functions: An Elementary Introduction/	512.7 LozN Number Theory and Geometry : An Introduction to Arithmetic Geometry /	Next

The method of exponential sums is a general method enabling the solution of a wide range of problems in the theory of numbers and its applications. This volume presents an exposition of the fundamentals of the theory with the help of examples which show how exponential sums arise and how they are applied in problems of number theory and its applications.The material is divided into three chapters which embrace the classical results of Gauss, and the methods of Weyl, Mordell and Vinogradov; the traditional applications of exponential sums to the distribution of fractional parts, the estimation of the Riemann zeta function; and the theory of congruences and Diophantine equations. Some new applications of exponential sums are also included. It is assumed that the reader has a knowledge of the fundamentals of mathematical analysis and of elementary number theory.

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