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Period polynomials and congruences for Hecke algebras
Published online by Cambridge University Press: 20 January 2009
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Using the Eichler-Shimura isomorphism and the action of the Hecke operator T2 on period polynomials, we shall give a simple and new proof of the following result (implicitly contained in the literature): let f be a normalized Hecke eigenform of weight k with respect to the full modular group with eigenvalues λp under the usual Hecke operators Tp (p a prime). Let Kf be the field generated over Q by the λp for all p. Let p be a prime of Kf lying above 5. Then
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- Copyright © Edinburgh Mathematical Society 1999
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