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The number of Hecke eigenvalues of same signs

โœ Scribed by Y.-K. Lau; J. Wu

Publisher
Springer-Verlag
Year
2008
Tongue
French
Weight
203 KB
Volume
263
Category
Article
ISSN
0025-5874

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Let K be the splitting field of the characteristic polynomial of the Hecke operator T 2 acting on the d-dimensional space of cusp forms of weight k and level 1. We show, for various values of k, that the Galois group Gal(Kร‚Q) is the full symmetric group on d symbols.