On certain finiteness questions in the arithmetic of modular forms

DOI10.1112/jlms/jdw045zbMath1398.11082arXiv1408.3249OpenAlexW2167548011MaRDI QIDQ2835331

Gabor Wiese, Nadim Rustom, Ian Kiming

Publication date: 2 December 2016

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3249

zbMATH Keywords

modular formsapproximations modulo prime powers of p-adic Galois representationsp-adic coefficient fields of Hecke eigenforms

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80)

Related Items (7)

On the level raising of cuspidal eigenforms modulo prime powers ⋮ Topics on Modular Galois Representations Modulo Prime Powers ⋮ The theta cycles for modular forms modulo prime powers ⋮ On the distribution of the coefficients of modular forms modulo 𝑝^{𝑗} ⋮ Dihedral group, 4-torsion on an elliptic curve, and a peculiar eigenform modulo 4 ⋮ Congruences modulo prime powers of Hecke eigenvalues in level 1 ⋮ On certain finiteness questions in the arithmetic of modular forms

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