The effective Chebotarev density theorem and modular forms modulo $\mathfrak m$

DOI10.1090/S0002-9939-08-09333-7zbMath1247.11069OpenAlexW1547074377MaRDI QIDQ3533856

Sam Lichtenstein

Publication date: 24 October 2008

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09333-7

zbMATH Keywords

\(\ell\)-adic Galois representations

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Congruences for modular and (p)-adic modular forms (11F33) Density theorems (11R45)

Related Items (2)

Effective congruences for mock theta functions ⋮ On Fourier coefficients of elliptic modular forms \(\bmod\ell\) with applications to Siegel modular forms

Cites Work

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• Fourier coefficients of half-integral weight modular forms modulo \(\ell\)
• Quelques applications du théorème de densité de Chebotarev
• Divisibilite de certaines fonctions arithmétiques
• A bound for the least prime ideal in the Chebotarev density theorem
• Arithmetic properties of the partition function
• Distribution of the partition function modulo \(m\)
• Multiplicative Congruence Properties and Density Problems for p(n)

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