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arXiv · 2312.05587

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

Jeehoon Park·Junyeong Park
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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}.

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Jeehoon Park, Junyeong Park. 2023-12-09. BF path integrals for elliptic curves and $p$-adic $L$-functions. https://arxiv.org/abs/2312.05587

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