English

On p-adic L-functions for ${\rm GL}(n)\times{\rm GL}(n-1)$ over totally real fields

Number Theory 2014-05-05 v7

Abstract

We refine and extend previous constructions of pp-adic LL-functions for Rankin-Selberg convolutions on \GL(n)×\GL(n1)\GL(n)\times\GL(n-1) for regular algebraic representations over totally real fields. We also prove an intrinsic functional equation for this pp-adic LL-function, which will be of interest in further study of its arithmetic properties.

Keywords

Cite

@article{arxiv.1111.1818,
  title  = {On p-adic L-functions for ${\rm GL}(n)\times{\rm GL}(n-1)$ over totally real fields},
  author = {Fabian Januszewski},
  journal= {arXiv preprint arXiv:1111.1818},
  year   = {2014}
}