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Gauss and Jacobi sums

By: Contributor(s): Material type: TextTextLanguage: English Series: Canadian Mathematical Society series of monographs and advanced texts ; 21Publication details: New York John Wiley & Sons, Inc 1998.Description: xi, 583pISBN:
  • 0471128074 (HB)
Subject(s):
Contents:
1 Gauss sums 2 Jacobi sums and cyclotomic numbers 3 Evaluation of Jacobi sums over Fp 4 Determination of Gauss sums over Fp 5 Difference sets 6 Jacobsthal sums over Fp 7 Residuacity 8 Reciprocity laws 9 Congruences for binomial coefficients 10 Diagonal equations over finite fields 11 Gauss sums over Fq 12 Einstein sums 13 Brewer sums 14 A general Eisenstein reciprocity law
Summary: 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.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 511.32 BER (Browse shelf(Opens below)) Available 53165

Includes index

Includes Bibliography (p. 499-564) and references.

1 Gauss sums
2 Jacobi sums and cyclotomic numbers
3 Evaluation of Jacobi sums over Fp
4 Determination of Gauss sums over Fp
5 Difference sets
6 Jacobsthal sums over Fp
7 Residuacity
8 Reciprocity laws
9 Congruences for binomial coefficients
10 Diagonal equations over finite fields
11 Gauss sums over Fq
12 Einstein sums
13 Brewer sums
14 A general Eisenstein reciprocity law

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.

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The Institute of Mathematical Sciences, Chennai, India