Gauss and Jacobi Sums / Edition 1

Gauss and Jacobi Sums / Edition 1

by Bruce C. Berndt, Ronald J. Evans, Kenneth S. Williams
     
 

Devised in the 19th century, Gauss and Jacobi Sums are classical formulas that form the basis for contemporary research in many of today's sciences. This book offers readers a solid grounding on the origin of these abstract, general theories. Though the main focus is on Gauss and Jacobi, the book does explore other relevant formulas, including Cauchy.See more details below

Overview

Devised in the 19th century, Gauss and Jacobi Sums are classical formulas that form the basis for contemporary research in many of today's sciences. This book offers readers a solid grounding on the origin of these abstract, general theories. Though the main focus is on Gauss and Jacobi, the book does explore other relevant formulas, including Cauchy.

Product Details

ISBN-13:
9780471128076
Publisher:
Wiley
Publication date:
06/01/1998
Series:
Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts Series, #20
Pages:
600
Product dimensions:
6.63(w) x 9.65(h) x 1.36(d)

Table of Contents

Gauss Sums.

Jacobi Sums and Cyclotomic Numbers.

Evaluation of Jacobi Sums Over Fp.

Determination of Gauss Sums Over Fp.

Difference Sets.

Jacobsthal Sums Over Fp.

Residuacity.

Reciprocity Laws.

Congruences for Binomial Coefficients.

Diagonal Equations over Finite Fields.

Gauss Sums over Fq.

Eisenstein Sums.

Brewer Sums.

A General Eisenstein Reciprocity Law.

Research Problems.

Bibliography.

Notation.

Indexes.

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