Transcendence of Hecke operators in the big Hecke algebra

DOI10.1215/00127094-2690478zbMath1334.11030OpenAlexW1987558322MaRDI QIDQ2510815

Haruzo Hida

Publication date: 4 August 2014

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.dmj/1402578555

zbMATH Keywords

transcendencediamond operatorHecke operatorsHecke algebracyclotomic \(\mu\)-invariant

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Theta series; Weil representation; theta correspondences (11F27) Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Hecke-Petersson operators, differential operators (one variable) (11F25) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) General binary quadratic forms (11E16)

Related Items

Growth of Hecke Fields Along a p-Adic Analytic Family of Modular Forms, Unlikely intersections on the \(p\)-adic formal ball, Classical forms of weight one in ordinary families, An \(l\neq p\)-interpolation of genuine \(p\)-adic \(L\)-functions

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