On the universal power series for Jacobi sums and the Vandiver conjecture

DOI10.1016/0022-314X(89)90076-0zbMath0686.12003OpenAlexW2008837442WikidataQ122856135 ScholiaQ122856135MaRDI QIDQ1262341

Humio Ichimura, Masanobu Kaneko

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-314x(89)90076-0

zbMATH Keywords

Galois representationsIwasawa modulepower series representationclass number of real cyclotomic fieldGalois action on Fermat curves of l-power degreesIhara's series

Mathematics Subject Classification ID

Galois theory (11R32) Iwasawa theory (11R23) Cyclotomic extensions (11R18) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items

Biographical Sketch of Professor Humio Ichimura ⋮ Local units modulo Gauss sums ⋮ New criteria for Vandiver's conjecture using Gauss sums -- heuristics and numerical experiments ⋮ A note on the universal power series for Jacobi sums ⋮ A note on the main conjecture over \(\mathbb{Q}\)

Cites Work

• A note on class numbers of algebraic number fields
• Class fields of abelian extensions of \(\mathbb Q\)
• Profinite braid groups, Galois representations and complex multiplications
• Division values in local fields
• Local Units Modulo Circular Units
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