On the exponents in the factorizations ofrconsecutive numbers

DOI10.2989/16073606.2021.1938277OpenAlexW3185238508WikidataQ114039696 ScholiaQ114039696MaRDI QIDQ5039406

Carlo Sanna

Publication date: 12 October 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2021.1938277

zbMATH Keywords

exponentspowerful numberprime factorization

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Cites Work

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• Sums of reciprocals of certain additive functions
• On the maximum and minimum exponents in factoring integers
• On the number of distinct exponents in the prime factorization of an integer
• On the distribution of \(r\)-tuples of \(k\)-free numbers
• On the number of special numbers
• The distribution of r ‐tuples of square‐free numbers
• Sums of Quotients of Additive Functions
• Averages of Exponents in Factoring Integers
• On the Factorization of Integers
• Powerful Numbers
• The Number of Square-Full Divisors of an Integer

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