Timeline for Restricted partition problem into parts with a given set of prime factors
Current License: CC BY-SA 4.0
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| Aug 10, 2020 at 1:44 | comment | added | Zhou | If there is only a prime number of $p $, there will be a lot of literature. For example, see [Mahler, K. (1940), On a Special Functional Equation. Journal of the London Mathematical Society, s1-15: 115-123. doi:10.1112/jlms/s1-15.2.115]. Otherwise, there seems to be no such literature. Of course, using [Richmond, L. B. Asymptotic relations for partitions. J. Number Theory 7 (1975), no. 4, 389–405.], we can also get a more accurate asymptotic formula than your result through more complicated calculation. | |
| Aug 9, 2020 at 12:53 | comment | added | Vlad Matei | Thank you so much for your answer! The argument you made is along my lines of thought also, and definitely feels that it should be out there in the literature somewhere. | |
| Aug 9, 2020 at 3:29 | history | answered | Zhou | CC BY-SA 4.0 |