English

The doubling Archimedean zeta integrals for p-adic interpolation

Number Theory 2019-04-16 v1

Abstract

We compute the Archimedean doubling zeta integrals which appear in the interpolation formulas for the p-adic L-functions of Siegel modular forms, and verify that they agree with the modified Archimedean Euler factors for p-adic interpolation conjectured by Coates--Perrin-Riou.

Keywords

Cite

@article{arxiv.1904.07121,
  title  = {The doubling Archimedean zeta integrals for p-adic interpolation},
  author = {Zheng Liu},
  journal= {arXiv preprint arXiv:1904.07121},
  year   = {2019}
}

Comments

16 pages

R2 v1 2026-06-23T08:39:58.611Z