|
This article is cited in 1 scientific paper (total in 1 paper)
Estimates of the number of integers with the special prime factorization
A. S. Rybakov TVP Laboratories, LLC, Moscow
Abstract:
We obtain several integral formulas for some generalizations of the known Dickman function allowing to estimate the number of integers in a long interval with prime factorizations satisfying specific conditions. These formulas generalize known formulas due to R. Lambert, V. H. Ekkelkamp and the author and use the integration of reduced multiplicity.
Key words:
Dickman function, integer factorization, estimates for the number of the sieving equations.
Received 20.IV.2015
Citation:
A. S. Rybakov, “Estimates of the number of integers with the special prime factorization”, Mat. Vopr. Kriptogr., 7:1 (2016), 119–142
Linking options:
https://www.mathnet.ru/eng/mvk178https://doi.org/10.4213/mvk178 https://www.mathnet.ru/eng/mvk/v7/i1/p119
|
Statistics & downloads: |
Abstract page: | 289 | Full-text PDF : | 202 | References: | 41 | First page: | 1 |
|