\(\Gamma\)-transforms of rational function measures on \(\mathbb Z_ S\)

DOI10.1007/BF01404675zbMath0637.12004MaRDI QIDQ1098883

Warren Sinnott

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143475

zbMATH Keywords

behavior of the \(\ell \)-part of the class numbergamma transforms of p-adic measuresnormal p-adic numbers

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (4)

Note on \(p\)-adic local functional equation ⋮ \(p\)-adic automorphic \(L\)-functions on \(\mathrm{GL}(3)\) ⋮ An analogue of the Washington-Sinnott theorem for elliptic curves with complex multiplication I ⋮ ON THE ORDERS OF EVEN K-GROUPS OF RINGS OF INTEGERS IN CYCLOTOMIC ℤ_p-EXTENSIONS OF ℚ

Cites Work

• On the \(\mu\)-invariant of the \(\Gamma\)-transform of a rational function
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• Ideal class groups in basic \(\mathbb Z_{p_1}\times\dots\times\mathbb Z_{p_s}\)-extensions of abelian number fields
• The non-p-part of the class number in a cyclotomic \(\mathbb{Z}_p\)-extension
• On Γ-extensions of algebraic number fields
• Unnamed Item
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