A class number formula of Iwasawa's modules

DOI10.2996/kmj/1138036616zbMath0534.12004OpenAlexW2093322889MaRDI QIDQ790174

Takashi Fukuda

Publication date: 1982

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036616

zbMATH Keywords

Gauss sumTeichmüller characterclass number formulaIwasawa modulesp-class groupcyclotomic-extensionimaginary Abelian fieldorder of fixed groupp-adic gamma functionvalues of p-adic L-function at \(s=0\)

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Cyclotomic extensions (11R18) Trigonometric and exponential sums (general theory) (11L03) Zeta functions and (L)-functions (11S40)

Cites Work

• On a certain \(l\)-adic representation
• On the behavior of \(p\)-adic \(L\)-functions at \(s=0\)
• Regulators and Iwasawa modules
• Gauss sums and the p-adic \(\Gamma\)-function
• On l-adic zeta functions
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Lectures on P-Adic L-Functions. (AM-74)

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