3.8 Article

On certain arithmetical functions of exponents in the factorization of integers

Journal

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
Volume 29, Issue 2, Pages 378-388

Publisher

BULGARIAN ACAD SCIENCE
DOI: 10.7546/nntdm.2023.29.2.378-388

Keywords

Arithmetic function; Density; Maximum and minimum exponent; Number of prime factors; Statistical limit

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New results on the maximum and minimum exponents in integer factorization have been achieved, alongside the introduction of related functions and generalized arithmetical functions.
Some new results for the maximum and minimum exponents in factorizing integers are obtained. Related functions and generalized arithmetical functions are also introduced.

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