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Path Integrals and p-adic L-functions

· 2022 · math.NT · DOI 10.48550/arxiv.2207.03732 · arXiv 2207.03732

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abstract

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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math.NT 1

years

2025 1

verdicts

REJECT 1

representative citing papers

A Trace-Path Integral Formula over Function Fields

math.NT · 2025-09-04 · reject · novelty 5.0

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 false multiplicativity lemma.

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  • A Trace-Path Integral Formula over Function Fields math.NT · 2025-09-04 · reject · none · ref 302 · internal anchor

    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 false multiplicativity lemma.