On a New Aspect of Karatsuba’s Phenomenon

Abstract We obtain asymptotics for the sums of values of the divisor function over the set of positive integers whose prime divisors are subject to certain restrictions. This continues the research of A. A. Karatsuba and M. E. Changa.

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Publication Details

Journal
Mathematical Notes
Published
2026-09-30
DOI
https://doi.org/10.1134/s0001434626604521
Primary Topic
Analytic Number Theory Research
Type
article
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article

On a New Aspect of Karatsuba’s Phenomenon

K. S. Arzhanykh
Mathematical Notes
Analytic Number Theory Research
article

On a New Aspect of Karatsuba’s Phenomenon

K. S. Arzhanykh
article en

Abstract

Abstract We obtain asymptotics for the sums of values of the divisor function over the set of positive integers whose prime divisors are subject to certain restrictions. This continues the research of A. A. Karatsuba and M. E. Changa.

Mathematical NotesVol. 120(5-6)
Lomonosov Moscow State University (RU)
Openalex Percentile: Top 4%
Analytic Number Theory Research
DOISourceOpenAlex
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On a New Aspect of Karatsuba’s Phenomenon — K. S. Arzhanykh · Mathematical Notes (2026) | TGRS Research Map | TGRS