Iwasawa theory of totally real fields for certain non-commutative \(p\)-extensions

DOI10.1016/j.jnt.2009.08.008zbMath1196.11148arXiv0803.0211OpenAlexW2045196489MaRDI QIDQ963008

Takashi Hara

Publication date: 8 April 2010

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

Full work available at URL: https://arxiv.org/abs/0803.0211

zbMATH Keywords

non-commutative Iwasawa theoryIwasawa main conjecturetotally real fields

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) Totally real fields (11R80)

Related Items

NON-COMMUTATIVE p-ADIC L-FUNCTIONS FOR SUPERSINGULAR PRIMES ⋮ On the “main conjecture” of equivariant Iwasawa theory ⋮ \({K}_{1}\)-congruences for three-dimensional Lie groups ⋮ On a noncommutative Iwasawa main conjecture for varieties over finite fields ⋮ Non-abelian \(p\)-adic \(L\)-functions and Eisenstein series of unitary groups -- the CM method ⋮ The Möbius–Wall congruences forp-adicL-functions of CM elliptic curves ⋮ On the Work of Ritter and Weiss in Comparison with Kakde’s Approach ⋮ HIGHER ORDER CONGRUENCES AMONGST HASSE–WEIL -VALUES ⋮ NON-ABELIAN CONGRUENCES BETWEEN SPECIAL VALUES OF L-FUNCTIONS OF ELLIPTIC CURVES: THE CM CASE

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