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Mathematics of Computation
ISSN 1088-6842(e) ISSN 0025-5718(p)

     

Values of symmetric cube $ L$-functions and Fourier coefficients of Siegel Eisenstein series of degree-3

Author(s): Dominic Lanphier.
Journal: Math. Comp. 80 (2011), 409-428.
MSC (2010): Primary 11F67, 11F46, 11F30
Posted: April 15, 2010
MathSciNet review: 2728987
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: We obtain formulas for certain weighted sums of values of the symmetric square and triple product $ L$-functions. As a consequence, we get exact values at the right critical point for the symmetric square and symmetric cube $ L$-functions attached to certain cuspforms. We also give applications to Fourier coefficients of modular forms.

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Additional Information:

Dominic Lanphier
Affiliation: Department of Mathematics, Western Kentucky University, Bowling Green, Kentucky 42101
Email: dominic.lanphier@wku.edu

DOI: 10.1090/S0025-5718-10-02350-1
PII: S 0025-5718(10)02350-1
Received by editor(s): April 20, 2009
Received by editor(s) in revised form: August 27, 2009
Posted: April 15, 2010
Copyright of article: Copyright 2010, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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