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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Computations of Siegel modular forms of genus two


Author: Nils-Peter Skoruppa
Journal: Math. Comp. 58 (1992), 381-398
MSC: Primary 11F46; Secondary 11F60, 11F66
MathSciNet review: 1106982
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Abstract: We explain the basic notions and theorems for doing computations in the theory of Siegel modular forms of degree two, on the full modular group and of even weight. This synopsis concludes with a handy and computationally realistic algorithm for tabulating the Fourier coefficients of such forms and the Euler factors of their Spinor zeta functions. In the second part of this paper we present and discuss some of the results of actual computations which we performed following this algorithm. We point out two (theoretically) striking phenomena that are implied by the results of these computations.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1992-1106982-0
PII: S 0025-5718(1992)1106982-0
Article copyright: © Copyright 1992 American Mathematical Society