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math.NT2025
Large deviation principles for abelian monoids
Daniel Keliher, Sun Woo Park
Following work of Mehrdad and Zhu and of Liu, we prove a large deviation principle for a broad class of integer-valued additive functions defined over abelian monoids. As a corolla…
math.NT2025
Rank growth of elliptic curves over S3 extensions with fixed quadratic resolvents
Daniel Keliher, Sun Woo Park
We study the probability with which an elliptic curve , subject to some technical conditions, gains rank upon base extension to an -cubic extension with quadratic r…