\(\ell\)-adic properties of certain modular forms

DOI10.3792/pjaa.82.83zbMath1160.11022OpenAlexW1965304233MaRDI QIDQ883655

Hyunsuk Moon, Yuichiro Taguchi

Publication date: 6 June 2007

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1160485502

zbMATH Keywords

modular formsHecke-operatorsmod \(\ell\) Galois representationsSerre's \(\varepsilon\)-conjecture

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Ramification and extension theory (11S15) Hecke-Petersson operators, differential operators (one variable) (11F25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sur les représentations galoisiennes modulo \(\ell\) attachées aux formes modulaires. (On Galois representations modulo \(\ell\) attached to modular forms)
• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• On the conductors of mod \(\ell\) Galois representations coming from modular forms
• Divisibilite de certaines fonctions arithmétiques
• The weight in Serre's conjectures on modular forms
• Hecke operators on \(\Gamma_0(m)\)
• 2-ADIC PROPERTIES OF CERTAIN MODULAR FORMS AND THEIR APPLICATIONS TO ARITHMETIC FUNCTIONS