Divisors of an Integer in a Short Interval

2025/03/15 by Letendre, Patrick
#11N37 #11N56 #11N64 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2503.12146

Abstract

Let D_n ⊂ ℕ denote the set of the τ(n) divisors of n. We study the function D_n(X,Y):=|\d ∈ D_n: X ≤ d ≤ X+Y\| for Y ≤ X.

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