English

$p$-adic $L$-functions for ${\rm GSp}(4)\times {\rm GL}(2)$ II

Number Theory 2024-06-11 v1

Abstract

We construct four-variable pp-adic LL-functions for cuspidal Hida families on GSp(4)×GL(2){\rm GSp}(4)\times{\rm GL}(2) and prove a complete interpolation formula. The archimedean zeta integrals are computed by using a partial interpolation formula for the four-variable pp-adic LL-functions and some previously constructed pp-adic LL-functions.

Keywords

Cite

@article{arxiv.2406.05847,
  title  = {$p$-adic $L$-functions for ${\rm GSp}(4)\times {\rm GL}(2)$ II},
  author = {Zheng Liu},
  journal= {arXiv preprint arXiv:2406.05847},
  year   = {2024}
}
R2 v1 2026-06-28T16:58:52.441Z