English

Automorphic-twisted summation formulae for pairs of quadratic spaces

Number Theory 2025-07-29 v3 Representation Theory

Abstract

We prove a summation formula for pairs of quadratic spaces following the conjectures of Braverman-Kazhdan, Lafforgue, Ng\^{o} and Sakellaridis. We also give an expression of the local factors where all the data are unramified.

Keywords

Cite

@article{arxiv.2102.06113,
  title  = {Automorphic-twisted summation formulae for pairs of quadratic spaces},
  author = {Miao Pam Gu},
  journal= {arXiv preprint arXiv:2102.06113},
  year   = {2025}
}

Comments

61 pages. Accepted version, to appear in Represent. Theory