The irreducibility of some level 1 Hecke polynomials

DOI10.1090/S0025-5718-01-01375-8zbMath0995.11032OpenAlexW2083038126MaRDI QIDQ4529717

David W. Farmer, Kevin L. James

Publication date: 6 May 2002

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-01-01375-8

zbMATH Keywords

characteristic polynomialirreducibilityHecke operatorMaeda's conjecture

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25) Factorization (11Y05)

Related Items

DISTINGUISHING HECKE EIGENFORMS, Sign changes of Fourier coefficients of cusp forms supported on prime power indices, Certification of modular Galois representations, Real zeros of holomorphic Hecke cusp forms, Distinguishing eigenforms of level one, Linear independence of odd periods of modular forms, On the irreducibility of Hecke polynomials, Symmetric Square L-Functions and Shafarevich-Tate Groups, On the generation of the coefficient field of a newform by a single Hecke eigenvalue, Divisibility of an eigenform by an eigenform

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Values of L-series of modular forms at the center of the critical strip
• A note on the irreducibility of Hecke polynomials
• On the eigenvalues of the Hecke operator \(T_ 2\)
• Solving sparse linear equations over finite fields
• Transforms, Finite Fields, and Fast Multiplication
• Shift-register synthesis and BCH decoding
• Factoring Hecke polynomials modulo a prime.