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Title: | On the Number of Factorizations of An Integer |
Authors: | R. Balasubramanian Priyamvad Srivastav |
Issue Date: | 2017 |
Publisher: | Journal of the Ramanujan Mathematical Society |
Abstract: | Let f (n) denote the number of unordered factorizations of a positive integer n into factors larger than 1. We show that the number of distinct values of f (n), less than or equal to x, is at most exp (C a��log x /a�loglog x (1+o(1))), where C = 2π a�� 2/3 and x is sufficiently large. This improves upon a previous result of the first author and F. Luca. |
URI: | http://gnanaganga.inflibnet.ac.in:8080/jspui/handle/123456789/6347 |
Appears in Collections: | Articles to be qced |
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On the number of factorizations of an integer.pdf Restricted Access | 356.9 kB | Adobe PDF | View/Open Request a copy |
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