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

DOI10.1090/S0025-5718-09-02215-7zbMath1205.11121MaRDI QIDQ3055201

Hugo Chapdelaine

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

Eisenstein series\(p\)-adic integration\(p\)-unitsexplicit class field theoryreal quadratic number fields\(p\)-adic Gross-Stark conjectures

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Algebraic number theory computations (11Y40) Class field theory (11R37) Zeta functions and (L)-functions of number fields (11R42) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Zeta functions and (L)-functions (11S40)

Cites Work

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• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• Shintani zeta functions and Gross-Stark units for totally real fields
• Elliptic units for real quadratic fields
• p-units in ray class fields of real quadratic number fields
• Computations of Elliptic Units for Real Quadratic Fields

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