English

Adelic Rogers integral formula

Number Theory 2024-02-21 v2

Abstract

We formulate and prove the extension of the Rogers integral formula to the adeles of number fields. We also prove the second moment formulas for a few important cases, enabling a number of classical and recent applications of the formula to extend immediately to any number field.

Keywords

Cite

@article{arxiv.2205.03138,
  title  = {Adelic Rogers integral formula},
  author = {Seungki Kim},
  journal= {arXiv preprint arXiv:2205.03138},
  year   = {2024}
}
R2 v1 2026-06-24T11:09:10.788Z