p-units in ray class fields of real quadratic number fields

DOI10.1112/S0010437X08003886zbMath1166.11045MaRDI QIDQ3628244

Hugo Chapdelaine

Publication date: 19 May 2009

Published in: Compositio Mathematica (Search for Journal in Brave)

zbMATH Keywords

Eisenstein series\(p\)-adic integrationexplicit class field theory\(p\)-adic Gross-Stark conjectures

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class field theory (11R37) Zeta functions and (L)-functions (11S40)

Related Items (1)

Computation of 𝑝-units in ray class fields of real quadratic number fields

Cites Work

• Shintani zeta functions and Gross-Stark units for totally real fields
• Elliptic units for real quadratic fields
• On Ihara's modular group
• Le problème des groupes de congruence pour \(SL_2\)
• Kummer congruences for values of Bernoulli and Euler polynomials
• Computations of Elliptic Units for Real Quadratic Fields

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