On the characteristic power series of the \(U\) operator

DOI10.5802/aif.1332zbMath0779.11022OpenAlexW2335305760WikidataQ105611618 ScholiaQ105611618MaRDI QIDQ685874

Fernando Q. Gouvêa, Barry Mazur

Publication date: 23 January 1994

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_2_301_0

zbMATH Keywords

\(p\)-adic modular formscongruence conditionsAtkin's \(U\) operatorcharacteristic power seriesIwasawa functions

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33)

Related Items

\(p\)-adic Banach spaces and families of modular forms, Slopes of eigencurves over boundary disks, Reductions of Galois representations and the theta operator, Computing \(\mathcal{L}\)-invariants via the Greenberg-Stevens formula, The work of Barry Mazur, On the ordinary Hecke algebra, Classical and overconvergent modular forms, Familles de formes modulaires de Drinfeld pour le groupe général linéaire, Computations with classical and p-adic modular forms, Rank one case of Dwork’s conjecture

Cites Work

• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• Arithmetic of p-adic modular forms
• On the zeta function of a hypersurface. I
• Formal cohomology. III: Fixed point theorems
• Families of Modular Eigenforms
• Unnamed Item
• Unnamed Item
• Unnamed Item