路径积分和 p-adic L 函数

IF 0.8 3区数学 Q2 MATHEMATICS Bulletin of the London Mathematical Society Pub Date : 2024-04-03 DOI:10.1112/blms.13036

Magnus Carlson, Hee-Joong Chung, Dohyeong Kim, Minhyong Kim, Jeehoon Park, Hwajong Yoo

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摘要

我们证明了久保田-列奥波德 p$p$-adic L$L$ 函数在统一根处的逆 p$p$-adic 绝对值的算术 "路径积分 "公式。

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Path integrals and p $p$ -adic L $L$ -functions

We prove an arithmetic ‘path integral’ formula for the inverse $p$ -adic absolute values of Kubota–Leopoldt $p$ -adic $L$ -functions at roots of unity.