arXiv:1304.6285 [math.NT]AbstractReferencesReviewsResources
Comparison results for certain periods of cusp forms on GL(2n) over a totally real number field
Published 2013-04-23, updated 2013-07-17Version 2
This article grew out of my talk in "The Legacy of Srinivasa Ramanujan" conference where I spoke about some techniques to prove algebraicity results for the special values of symmetric cube L-functions attached to the Ramanujan \Delta-function. If one wishes to compare these different techniques, then one needs to compare various automorphic periods attached to the symmetric cube transfer of \Delta. Motivated by this problem, in this article we provide comparison results for Whittaker-Betti periods, Shalika-Betti periods and certain relative periods attached to a given cohomological cuspidal automorphic representation of GL(2n) over a totally real number field.
Comments: 10 pages. Final version to appear in the proceedings of "The Legacy of Srinivasa Ramanujan" conference
Keywords: totally real number field, comparison results, cusp forms, symmetric cube l-functions, symmetric cube transfer
Tags: conference paper
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