Path Integrals and p-adic L-functions

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Magnus Carlson , Hee-Joong Chung , Dohyeong Kim , Minhyong Kim , Jeehoon Park , Hwajong Yoo This is my paper · ORCID

classification math.NThep-th

keywords p-adicl-functionspathabsolutearithmeticformulaintegralintegrals

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

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

A Trace-Path Integral Formula over Function Fields
math.NT 2025-09 unverdicted novelty 7.0 of 10

The paper proves (up to an explicit Legendre symbol) that the Frobenius trace on the theta line bundle over the Jacobian equals an arithmetic path integral over ℓ-torsion points, but the trace formula relies on a fals...