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Gauss and Jacobi Sums : Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts - Bruce C. Berndt

Gauss and Jacobi Sums

Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts

Hardcover

Published: 1st June 1998
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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.

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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.

ISBN: 9780471128076
ISBN-10: 0471128074
Series: Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 600
Published: 1st June 1998
Publisher: John Wiley and Sons Ltd
Country of Publication: US
Dimensions (cm): 24.5 x 16.85  x 3.46
Edition Number: 1