Repeated values of some restricted divisor functions

2022/10/16 by Qi-Yang Zheng, Zheng, Qi-Yang
Mathematics · #Advanced Mathematical Identities #Advanced Mathematical Theories #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2210.08447

openalex publication_date 2022/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that d_k(n)=d_k(n+B) infinitely often for any positive integers k and B, where d_k(n) denotes the number of divisors of n coprime to k.

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