On the number of distinct exponents in the prime factorization of an integer

DOI10.1007/s12044-020-0556-yzbMath1439.11245arXiv1902.09224OpenAlexW2915349979MaRDI QIDQ2309758

Carlo Sanna

Publication date: 1 April 2020

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.09224

zbMATH Keywords

powerful numberprime factorizationsquarefree numbers

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)

Related Items (1)

On the exponents in the factorizations ofrconsecutive numbers

Uses Software

• OEIS
• MathOverflow

Cites Work

• Sums of reciprocals of certain additive functions
• On the maximum and minimum exponents in factoring integers
• On the number of special numbers
• On k-Free Integers with Small Prime Factors
• Sums of Quotients of Additive Functions
• Averages of Exponents in Factoring Integers
• On the Factorization of Integers
• Powerful Numbers
• Some Applications of the Turan-Kubilius Inequality
• The Number of Square-Full Divisors of an Integer
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