Character Sums with Exponential Functions and their - download pdf or read online

By Sergei Konyagin,Igor Shparlinski

The topic of this publication is the learn of the distribution of integer powers modulo a major quantity. It presents various new, occasionally really unforeseen, hyperlinks among quantity concept and computing device technology in addition to to different components of arithmetic. attainable purposes comprise (but are usually not restricted to) complexity concept, random quantity iteration, cryptography, and coding concept. the most procedure mentioned relies on bounds of exponential sums. therefore, the publication comprises many estimates of such sums, together with new estimates of classical Gaussian sums. It additionally comprises many open questions and suggestions for additional research.

Show description

Read or Download Character Sums with Exponential Functions and their Applications (Cambridge Tracts in Mathematics) PDF

Best number theory books

Download e-book for kindle: Birational Geometry, Rational Curves, and Arithmetic (Simons by Fedor Bogomolov,Brendan Hassett,Yuri Tschinkel

​​​​This ebook gains contemporary advancements in a swiftly turning out to be zone on the interface of higher-dimensional birational geometry and mathematics geometry.  It makes a speciality of the geometry of areas of rational curves, with an emphasis on functions to mathematics questions.  Classically, mathematics is the learn of rational or critical suggestions of diophantine equations and geometry is the examine of strains and conics.

Analytic Number Theory, Approximation Theory, and Special - download pdf or read online

This e-book, in honor of Hari M. Srivastava, discusses crucial advancements in mathematical examine in a number of difficulties. It includes thirty-five articles, written through eminent scientists from the overseas mathematical group, together with either examine and survey works. topics lined comprise analytic quantity thought, combinatorics, distinct sequences of numbers and polynomials, analytic inequalities and purposes, approximation of services and quadratures, orthogonality and certain and intricate capabilities.

Get L-Functions and Arithmetic (London Mathematical Society PDF

This quantity is an outgrowth of the LMS Durham Symposium on L-functions, held in July 1989. The symposium consisted of a number of brief classes, aimed toward providing rigorous yet non-technical expositions of the newest examine components, and a few person lectures on particular issues. The participants are all striking figures within the sector of algebraic quantity conception and this quantity should be of lasting worth to scholars and researchers operating within the sector.

Read e-book online Quadratic Residues and Non-Residues: Selected Topics PDF

This ebook deals an account of the classical thought of quadratic residues and non-residues with the target of utilizing that concept as a lens in which to view the improvement of a few of the basic tools hired in smooth effortless, algebraic, and analytic quantity conception. the 1st 3 chapters current a few easy proof and the background of quadratic residues and non-residues and talk about a variety of proofs of the legislation of Quadratic Reciprosity intensive, with an emphasis at the six proofs that Gauss released.

Additional info for Character Sums with Exponential Functions and their Applications (Cambridge Tracts in Mathematics)

Sample text

Download PDF sample

Character Sums with Exponential Functions and their Applications (Cambridge Tracts in Mathematics) by Sergei Konyagin,Igor Shparlinski


by William
4.4

Rated 4.76 of 5 – based on 38 votes