On Critical Values of L-Functions for Holomorphic Forms on GSp(4) X GL(2)

On Critical Values of L-Functions for Holomorphic Forms on GSp(4) X GL(2)

Let F be a genus two Siegel newform and g a classical newform, both of squarefree levels and of equal weight ℓ. We derive an explicit integral representation for the degree eight L-function L(s, F x g). As an application, we prove a reciprocity law --- predicted by Deligne's conjecture --- for...

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Bibliographic Details
Main Author: Saha, Abhishek
Format: Others
Published: 2009
Online Access:https://thesis.library.caltech.edu/1964/1/thesis.pdf
Saha, Abhishek (2009) On Critical Values of L-Functions for Holomorphic Forms on GSp(4) X GL(2). Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/5HWD-TH76. https://resolver.caltech.edu/CaltechETD:etd-05222009-162600 <https://resolver.caltech.edu/CaltechETD:etd-05222009-162600>

Internet

https://thesis.library.caltech.edu/1964/1/thesis.pdf
Saha, Abhishek (2009) On Critical Values of L-Functions for Holomorphic Forms on GSp(4) X GL(2). Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/5HWD-TH76. https://resolver.caltech.edu/CaltechETD:etd-05222009-162600 <https://resolver.caltech.edu/CaltechETD:etd-05222009-162600>

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