On the factorization of p-adic L-series

DOI10.1007/BF01389819zbMath0472.12011MaRDI QIDQ1158206

Gross, Benedict H.

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/142702

zbMATH Keywords

imaginary quadratic fieldChowla-Selberg formulap-adic L-functionmeasures on Galois groups

Mathematics Subject Classification ID

Quadratic extensions (11R11) Zeta functions and (L)-functions of number fields (11R42) Zeta functions and (L)-functions (11S40)

Related Items

Families of Bianchi modular symbols: critical base-change \(p\)-adic \(L\)-functions and \(p\)-adic Artin formalism, Algebraic number fields, STARK POINTS AND -ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE, Factorization of \(p\)-adic Rankin \(L\)-series, Gross-Stark units and \(p\)-adic iterated integrals attached to modular forms of weight one, Truncated Euler Systems over Imaginary Quadratic Fields, On the non-critical exceptional zeros of Katz \(p\)-adic \(L\)-functions for CM fields, Critical slope \(p\)-adic \(L\)-functions of CM modular forms, On \(p\)-adic \(L\)-functions for \(\text{GL}(2)\times\text{GL}(3)\) via pullbacks of Saito-Kurokawa lifts, On the anticyclotomic main conjecture, GOLDFELD’S CONJECTURE AND CONGRUENCES BETWEEN HEEGNER POINTS, A $p$-adic Stark conjecture in the rank one setting, Bloch invariants of hyperbolic \(3\)-manifolds, Geometry of the eigencurve at CM points and trivial zeros of Katz \(p\)-adic \(L\)-functions, Stark points and the Hida-Rankin \(p\)-adic \(L\)-function, The exceptional zero conjecture for Hilbert modular forms, The exceptional zero phenomenon for elliptic units, Derived Beilinson-Flach elements and the arithmetic of the adjoint of a modular form, Beilinson-Flach elements and Euler systems I: Syntomic regulators and 𝑝-adic Rankin 𝐿-series, Congruences for special values of L-functions of elliptic curves with complex multiplication, p-adic congruences and modular forms of half integer weight, Beilinson-Flach elements and Euler systems II: The Birch-Swinnerton-Dyer conjecture for Hasse-Weil-Artin 𝐿-series

Cites Work

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• THE $ \mathfrak{p}$-ADIC ZETA-FUNCTION OF AN IMAGINARY QUADRATIC FIELD AND THE LEOPOLDT REGULATOR
• p-ADIC HECKE SERIES OF IMAGINARY QUADRATIC FIELDS
• Modular units inside cyclotomic units