BF path integrals for elliptic curves and $p$-adic $L$-functions

Jeehoon Park; Junyeong Park

BF path integrals for elliptic curves and $p$-adic $L$-functions

Number Theory 2023-12-12 v1

Authors: Jeehoon Park , Junyeong Park

Abstract

We prove an arithmetic path integral formula for the inverse $p$ -adic absolute values of the $p$ -adic $L$ -functions of elliptic curves over the rational numbers with good ordinary reduction at an odd prime $p$ based on the Iwasawa main conjecture and Mazur's control theorem. This is an elliptic curve analogue of \cite{CCKKPY}.

Keywords

p-adic analysis iwasawa theory elliptic curves

Cite

@article{arxiv.2312.05587,
  title  = {BF path integrals for elliptic curves and $p$-adic $L$-functions},
  author = {Jeehoon Park and Junyeong Park},
  journal= {arXiv preprint arXiv:2312.05587},
  year   = {2023}
}

Comments

9 pages

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