On limiting distributions of arithmetic functions

Authors: Das, Sourabhashis

Subject Terms: Mathematics - Number Theory, Mathematics - Probability, 11N37, 11K65

Access URL: http://arxiv.org/abs/2411.08799

On the number of prime factors with a given multiplicity over h-free and h-full numbers

Authors: Das, Sourabhashis, Kuo, Wentang, Liu, Yu-Ru

Subject Terms: Mathematics - Number Theory, 11N05, 11N37

Access URL: http://arxiv.org/abs/2409.11275

Distribution of $\omega(n)$ over $h$-free and $h$-full numbers

Authors: Das, Sourabhashis, Kuo, Wentang, Liu, Yu-Ru

Subject Terms: Mathematics - Number Theory, 11N37, 11N05, 11N56

Access URL: http://arxiv.org/abs/2409.10430

On the number of irreducible factors with a given multiplicity in function fields

Authors: Das, Sourabhashis, Elma, Ertan, Kuo, Wentang, Liu, Yu-Ru

Source: Finite Fields Appl. 92(2023), Paper No. 102281, 22 pp

Subject Terms: Mathematics - Number Theory, 11N60 (11N37 11N56 11T06)

Access URL: http://arxiv.org/abs/2409.08559

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On the number of prime factors with a given multiplicity over h-free and h-full numbers

Authors: Das, Sourabhashis, Kuo, Wentang, Liu, Yu-Ru

Source: In Journal of Number Theory February 2025 267:176-201

Distribution of ω(n) over h-free and h-full numbers.

Authors: Das, Sourabhashis¹ (AUTHOR) s57das@uwaterloo.ca, Kuo, Wentang¹ (AUTHOR) wtkuo@uwaterloo.ca, Liu, Yu-Ru¹ (AUTHOR) yrliu@uwaterloo.ca

Source: International Journal of Number Theory. Apr2025, Vol. 21 Issue 3, p715-737. 23p.

Subject Terms: *PRIME factors (Mathematics), *PRIME numbers, *NATURAL numbers, *ARGUMENT, *COUNTING

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