$p$-adic Measures for Reciprocals of $L$-functions of Totally Real Fields

Razan Taha

$p$-adic Measures for Reciprocals of $L$-functions of Totally Real Fields

Number Theory 2021-09-28 v1

Authors: Razan Taha

Abstract

We construct $p$ -adic measures which interpolate the special values of reciprocals of $p$ -adic $L$ -functions of totally real number fields $K$ at negative integers. These measures are defined by analyzing the non-constant term of partial Eisenstein series of the Hilbert modular group of $K$ .

Keywords

p-adic measures l-functions totally real fields hilbert modular group eisenstein series special values

Cite

@article{arxiv.2109.13218,
  title  = {$p$-adic Measures for Reciprocals of $L$-functions of Totally Real Fields},
  author = {Razan Taha},
  journal= {arXiv preprint arXiv:2109.13218},
  year   = {2021}
}

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15 pages

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