IMAGES OF ADELIC GALOIS REPRESENTATIONS FOR MODULAR FORMS

DOI10.1017/S0017089516000367zbMath1430.11083arXiv1411.1789OpenAlexW1766218348MaRDI QIDQ2976243

David Loeffler

Publication date: 28 April 2017

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

Full work available at URL: https://arxiv.org/abs/1411.1789

zbMATH Keywords

adelic Galois representationsnon-CM modular form

Mathematics Subject Classification ID

Galois representations (11F80) Adèle rings and groups (11R56)

Related Items (14)

Modular forms of arbitrary even weight with no exceptional primes ⋮ EULER SYSTEMS FOR HILBERT MODULAR SURFACES ⋮ On analogues of Mazur-Tate type conjectures in the Rankin-Selberg setting ⋮ Coprimality of Fourier coefficients of eigenforms ⋮ Iwasawa theory for Rankin-Selberg products of \(p\)-nonordinary eigenforms ⋮ An all-purpose Erdős-Kac theorem ⋮ On signs of Hecke eigenvalues of Siegel eigenforms ⋮ Distinguishing newforms by the prime divisors of their Fourier coefficients ⋮ Main conjectures for higher rank nearly ordinary families. I ⋮ \(\lambda\)-invariant stability in families of modular Galois representations ⋮ Divisors of Fourier coefficients of two newforms ⋮ On the normal number of prime factors of sums of Fourier coefficients of eigenforms ⋮ On the semisimplicity of reductions and adelic openness for 𝐸-rational compatible systems over global function fields ⋮ Bounding Selmer Groups for the Rankin–Selberg Convolution of Coleman Families

Cites Work

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• Euler systems for Rankin-Selberg convolutions of modular forms
• On \(\ell\)-adic representations attached to modular forms
• A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations. Appendix: Recovering modular forms from squares by Dinakar Ramakrishnan
• Rankin-Eisenstein classes and explicit reciprocity laws
• Galois properties of points of finite order of elliptic curves
• Level Raising and Anticyclotomic Selmer Groups for Hilbert Modular Forms of Weight Two
• on l-adic representations attached to modular forms II
• Euler Systems

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