Computations of Elliptic Units for Real Quadratic Fields

DOI10.4153/CJM-2007-023-0zbMath1118.11045OpenAlexW2314286623MaRDI QIDQ5297714

Samit Dasgupta

Publication date: 12 July 2007

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

Full work available at URL: https://doi.org/10.4153/cjm-2007-023-0

zbMATH Keywords

\(p\)-adic integrationring class fieldreal quadratic number fieldelliptic unitsShimura's reciprocity law

Mathematics Subject Classification ID

Quadratic extensions (11R11) Algebraic number theory computations (11Y40) Class field theory (11R37) Elliptic and modular units (11G16)

Related Items (9)

ANOTHER LOOK AT GROSS–STARK UNITS OVER THE NUMBER FIELD ℚ ⋮ Explicit computation of Gross-Stark units over real quadratic fields ⋮ Shintani zeta functions and Gross-Stark units for totally real fields ⋮ Stark–Heegner points on modular Jacobians ⋮ The Darmon-Dasgupta units over genus fields and the Shimura correspondence ⋮ Computation of 𝑝-units in ray class fields of real quadratic number fields ⋮ p-units in ray class fields of real quadratic number fields ⋮ Overconvergent modular forms and their explicit arithmetic ⋮ Computing 𝑝-adic L-functions of totally real fields

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