Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



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

Author: Dominic Lanphier
Journal: Math. Comp. 80 (2011), 409-428
MSC (2010): Primary 11F67, 11F46, 11F30
Published electronically: April 15, 2010
MathSciNet review: 2728987
Full-text 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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC (2010): 11F67, 11F46, 11F30

Retrieve articles in all journals with MSC (2010): 11F67, 11F46, 11F30

Additional Information

Dominic Lanphier
Affiliation: Department of Mathematics, Western Kentucky University, Bowling Green, Kentucky 42101

Received by editor(s): April 20, 2009
Received by editor(s) in revised form: August 27, 2009
Published electronically: April 15, 2010
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

American Mathematical Society