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

2023/12/09 by Jeehoon Park, Park, Jeehoon, Junyeong Park +1
Mathematics · #11R23 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Primary 11M41 #Secondary 81T45 #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2312.05587

openalex publication_date 2023/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 \citeCCKKPY.

Related

• Path Integrals and p-adic L-functions
• Determination of elliptic curves by their adjoint p-adic L-functions
• Consequences of functional equations for pairs of p-adic L-functions
• Iwasawa Theory for Elliptic Curves at Unstable Primes
• Anticyclotomic p-adic L-functions for elliptic curves at some additive reduction primes