Gauss and Jacobi Sums Bruce C. Berndt, Ronald J. Evans, Kenneth S. Williams ISBN: 0-471-12807-4 Hardcover 600 pages May 1998

CDN $154.99Devised 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.

Gauss Sums.

Jacobi Sums and Cyclotomic Numbers.

Evaluation of Jacobi Sums Over F_p.

Determination of Gauss Sums Over F_p.

Difference Sets.

Jacobsthal Sums Over F_p.

Residuacity.

Reciprocity Laws.

Congruences for Binomial Coefficients.

Diagonal Equations over Finite Fields.

Gauss Sums over F_q.

Eisenstein Sums.

Brewer Sums.

A General Eisenstein Reciprocity Law.

Research Problems.

Bibliography.

Notation.

Indexes.

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