Rankin-Selberg integrals for ${\rm SO}_{2n+1}\times{\rm GL}_r$ attached to Newforms and Oldforms
Number Theory
2022-05-31 v2
Abstract
The conjectural newform theory for generic representations of -adic was formulated by P.-Y. Tsai in her thesis in which Tsai also verified the conjecture when the representations are supercuspidal. The main purpose of this work is to compute the Rankin-Selberg integrals for with attached to newforms and also oldforms under the validity of the conjecture.
Cite
@article{arxiv.2106.12267,
title = {Rankin-Selberg integrals for ${\rm SO}_{2n+1}\times{\rm GL}_r$ attached to Newforms and Oldforms},
author = {Yao Cheng},
journal= {arXiv preprint arXiv:2106.12267},
year = {2022}
}
Comments
Final version. Accepted by Math. Z