On the irreducibility of Hecke polynomials

DOI10.1090/S0025-5718-08-02078-4zbMath1220.11059OpenAlexW2033649860MaRDI QIDQ3577021

Scott Ahlgren

Publication date: 3 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02078-4

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (6)

Hecke operators and zeros of modular forms ⋮ Linear independence of odd periods of modular forms ⋮ ON MODpREPRESENTATIONS WHICH ARE DEFINED OVER_p: II ⋮ Constancy of adjoint \(\mathcal L\)-invariant ⋮ Linear independence of Poincaré series of exponential type via non-analytic methods ⋮ Divisibility of an eigenform by an eigenform

Cites Work

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• A note on the irreducibility of Hecke polynomials
• Irreducibility of Hecke polynomials
• On the eigenvalues of the Hecke operator \(T_ 2\)
• The irreducibility of some level 1 Hecke polynomials
• Factoring Hecke polynomials modulo a prime.

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