Uniqueness of Rankin-Selberg products
Number Theory
2015-05-26 v1
Abstract
In the present paper, we show the equality of the -factors defined by Jacquet, Piatetski-Shapiro and Shalika with those obtained via the Langlands-Shahidi method. Our results are new in the case of positive characteristic, where we establish a refined version of the local-global principle for which has independent interest. In characteristic zero, the results are due to Shahidi. The comparison of -factors is made via a uniqueness result for Rankin-Selberg -factors.
Keywords
Cite
@article{arxiv.1305.5452,
title = {Uniqueness of Rankin-Selberg products},
author = {Guy Henniart and Luis Lomelí},
journal= {arXiv preprint arXiv:1305.5452},
year = {2015}
}
Comments
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