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Period polynomials and congruences for Hecke algebras

Published online by Cambridge University Press:  20 January 2009

Winfried Hohnen
Winfried Hohnen
Affiliation:
Mathematisches Institut, Universität Heidelberg, Im Neuenheimer feld 288, 69120 HeidelbergGermany
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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

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 42 , Issue 2 , June 1999 , pp. 217 - 224
Copyright
Copyright © Edinburgh Mathematical Society 1999

References

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