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math.NT2025
Polynomials and asymptotic constants in a resurgent problem from 't Hooft
David Broadhurst, Gergő Nemes
In a recent study of the quantum theory of harmonic oscillators, Gerard 't Hooft proposed the following problem: given for , find its a…
math.CA2025
Hyperasymptotics for linear difference equations with an irregular singularity of rank one: Polynomial coefficients
Gergő Nemes
Hyperasymptotics is an analytical method that incorporates exponentially small contributions into asymptotic approximations, thereby expanding their domain of validity, improving a…