Description

Book Synopsis
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.

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.

Gauss and Jacobi Sums

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

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      Publisher: John Wiley & Sons Inc
      Publication Date: 11/06/1998
      ISBN13: 9780471128076, 978-0471128076
      ISBN10: 0471128074
      Also in:
      Mathematics Number theory

      Description

      Book Synopsis
      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.

      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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