A note on the irreducibility of Hecke polynomials

DOI10.1006/JNTH.1998.2285zbMath0931.11011OpenAlexW2011496643MaRDI QIDQ1277202

Ken Ono, Kevin L. James

Publication date: 22 February 2000

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/780ad15f54f6e56cdf56b8cc4fd91015fd64246f

zbMATH Keywords

characteristic polynomialsGalois representationscusp formsHecke operators

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (3)

The irreducibility of some level 1 Hecke polynomials ⋮ On the irreducibility of Hecke polynomials ⋮ On the generation of the coefficient field of a newform by a single Hecke eigenvalue

Cites Work

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• Values of L-series of modular forms at the center of the critical strip
• On the eigenvalues of the Hecke operator \(T_ 2\)
• Formes modulaires de poids $1$

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