On the relation between units and Jacobi sums in prime cyclotomic fields

DOI10.1007/BF02567634zbMath0760.11030OpenAlexW1995810953MaRDI QIDQ1191492

Francisco Thaine

Publication date: 27 September 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155659

zbMATH Keywords

Jacobi sumslogarithmic derivativesprime ideal factorizationfirst case of Fermat's last theoremextension of Kummer-Mirimanoff congruencesindices of units

Mathematics Subject Classification ID

Units and factorization (11R27) Congruences; primitive roots; residue systems (11A07) Higher degree equations; Fermat's equation (11D41) Cyclotomic extensions (11R18)

Related Items

On the coefficients of Jacobi sums in prime cyclotomic fields

Cites Work

• Cyclotomy, Higher Congruences, and Waring's Problem
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