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Period integrals of distinguished polarised strongly tempered hyperspherical varieties

Number Theory 2026-03-26 v1

Abstract

Recent work of Mao, Wan and Zhang \cite{MWZ} has provided a complete list of strongly tempered hyperspherical varieties and they proposed some new period integrals. In this paper, I will present new period integrals of distinguished polarised strongly tempered hyperspherical varieties and discuss the L-functions these integrals represent, as examples of the Relative Langlands Duality.

Keywords

Cite

@article{arxiv.2603.23895,
  title  = {Period integrals of distinguished polarised strongly tempered hyperspherical varieties},
  author = {Colin Jia Sheng Loh},
  journal= {arXiv preprint arXiv:2603.23895},
  year   = {2026}
}