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On $p$-adic Measures for Quaternionic Modular Forms

Number Theory 2025-04-09 v3

Abstract

The purpose of this paper is to study the special values of the standard LL-functions for quaternionic modular forms using the doubling method. We obtain an integral representation for the LL-function twisted by a character and construct the pp-adic measure interpolating certain special LL-values.

Keywords

Cite

@article{arxiv.2209.11822,
  title  = {On $p$-adic Measures for Quaternionic Modular Forms},
  author = {Yubo Jin},
  journal= {arXiv preprint arXiv:2209.11822},
  year   = {2025}
}

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39 pages