June 2021 On the number of divisors of the least common multiples of shifted prime powers
Florian Luca, Francesco Pappalardi
Funct. Approx. Comment. Math. 64(2): 153-161 (June 2021). DOI: 10.7169/facm/1866

Abstract

In this paper, we give the order of magnitude for the summatory function of the number of divisors of the least common multiple of $p^i-1$ for $i=1,2,\ldots,k$ when $p\le x$ is prime.

Citation

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Florian Luca. Francesco Pappalardi. "On the number of divisors of the least common multiples of shifted prime powers." Funct. Approx. Comment. Math. 64 (2) 153 - 161, June 2021. https://doi.org/10.7169/facm/1866

Information

Published: June 2021
First available in Project Euclid: 22 January 2021

MathSciNet: MR4278750
zbMATH: 1481.11094
Digital Object Identifier: 10.7169/facm/1866

Subjects:
Primary: 11N56
Secondary: 11N36

Keywords: applications of sieve methods , divisors , primes

Rights: Copyright © 2021 Adam Mickiewicz University

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Vol.64 • No. 2 • June 2021
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