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2002 Hecke Eigenvalues for Real Quadratic Fields
Kaoru Okada
Experiment. Math. 11(3): 407-426 (2002).


We describe an algorithm to compute the trace of Hecke operators acting on the space of Hilbert cusp forms defined relative to a real quadratic field with class number greater than one. Using this algorithm, we obtain numerical data for eigenvalues and characteristic polynomials of the Hecke operators. Within the limit of our computation, the conductors of the orders spanned by the Hecke eigenvalue for any principal split prime ideal contain a nontrivial common factor, which is equal to a Hecke {\small$L$}-value.


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Kaoru Okada. "Hecke Eigenvalues for Real Quadratic Fields." Experiment. Math. 11 (3) 407 - 426, 2002.


Published: 2002
First available in Project Euclid: 9 July 2003

zbMATH: 1117.11304
MathSciNet: MR1959751

Primary: 11F41
Secondary: 11F60 , 11F72 , 11R42

Keywords: eigenvalue , Hecke operator , Hilbert cusp form , trace formula L-value

Rights: Copyright © 2002 A K Peters, Ltd.

Vol.11 • No. 3 • 2002
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