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Relative norms of Gauss sums

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Publication:1086286
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DOI10.1016/0022-314X(87)90038-2zbMath0608.12006OpenAlexW2089887546MaRDI QIDQ1086286

Stanley J. Gurak

Publication date: 1987

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(87)90038-2


zbMATH Keywords

cyclotomic fieldGaussian sumStickelberger's theoremanalytic class number formularelative norms of Gauss sums


Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Cyclotomic extensions (11R18) Jacobsthal and Brewer sums; other complete character sums (11L10)




Cites Work

  • Gauss sums and elliptic functions. II: The quartic sum
  • \(L\)-functions at \(s=1\). IV: First derivatives at \(s=0\)
  • Galois groups of exponent two and the Brumer-Stark conjecture.
  • Some conjectures concerning Gauss sums.
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