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Action of Hecke operatorT(p) on theta series

✍ Scribed by Anatolii N. Andrianov


Publisher
Springer
Year
1980
Tongue
English
Weight
474 KB
Volume
247
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES


Components of Hecke Theta Series
✍ Helmut Kahl; GΓΌnter KΓΆhler πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 167 KB
On the Eigenvalues of the Hecke Operator
✍ Kevin Buzzard πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 203 KB

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(KΓ‚Q) is the full symmetric group on d symbols.

A Remark on Differences of Theta Series
✍ L.H. Walling πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 254 KB

The Eichler Commutation Relation shows that the space spanned by theta series attached to lattices in a given family (a finite collection of genera) is invariant under a particular subalgebra of the Hecke algebra. In previous work the author used this relation to construct eigenforms for this subalg