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On the first sign change of Hecke eigenvalues of newforms

โœ Scribed by Winfried Kohnen; Jyoti Sengupta

Publisher
Springer-Verlag
Year
2006
Tongue
French
Weight
172 KB
Volume
254
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.