On zeta functions and Iwasawa modules

DOI10.1090/S0002-9947-98-01967-9zbMath0921.11053OpenAlexW1538981562MaRDI QIDQ4211116

Jangheon Oh

Publication date: 10 September 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-01967-9

zbMATH Keywords

arithmetic equivalence of number fields

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23)

Cites Work

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• On zeta-functions and cyclotomic \({\mathbb{Z}}_ p\)-extensions of algebraic number fields
• Special values of Artin L-series
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
• On the class numbers of arithmetically equivalent fields
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Endomorphisms of Abelian varieties over finite fields
• On \(p\)-adic \(L\)-functions
• The Iwasawa conjecture for totally real fields
• Adele rings of global field of positive characteristc