Approximating the divisor functions

2023/06/30 by Echezabal, Andrew, De Carli, Laura, Laporta, Maurizio
#11N37 #40A25 #42A10 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2306.17781

Abstract

We exploit the properties of a sequence of functions that approximate the divisor functions and combine them with an analytical formula of a delta-like sequence to give a new proof of a theorem of Gronwall on the asymptotic of the divisor functions.

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