On p-adic L-functions associated to elliptic curves

DOI10.1007/BF01403154zbMath0425.12017MaRDI QIDQ1135318

Stephen Lichtenbaum

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/142685

zbMATH Keywords

elliptic curvecomplex multiplicationIwasawa functionsimaginary quadratic number fieldevaluation of p-adic L-functions

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Elliptic curves (14H52) Complex multiplication and abelian varieties (14K22) Zeta functions and (L)-functions (11S40)

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A new construction of \({\mathfrak p}\)-adic L-functions attached to certain elliptic curves with complex multiplication, Algebraic number fields, Unnamed Item, Congruences entre séries d'Eisenstein, dans le cas supersingulier, Congruences of Ankeny-Artin-Chowla type for pure quartic and sectic fields, Unnamed Item, Unnamed Item, Congruence relations of Ankeny-Artin-Chowla type for pure cubic fields, \(p\)-adic interpolation of the coefficients of Hurwitz series attached to height one formal groups, Sequences of numbers generated by addition in formal groups and new primality and factorization tests, \(p\)-adic measures on Galois groups, Nombres de Hurwitz et unités elliptiques. Un critère de régularité pour les extensions abéliennes d'un corps quadratique imaginaire, Modular forms, On the Stark-Shintani conjecture and cyclotomic \({\mathbb{Z}}_ p\)-extensions of class fields over real quadratic fields. II, p-adic interpolation of logarithmic derivatives associated to certain Lubin-Tate formal groups

Cites Work

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• p-ADIC HECKE SERIES OF IMAGINARY QUADRATIC FIELDS
• The Eisenstein Measure and P-Adic Interpolation