Kiss, Sándor and Sándor, Csaba (2017) On the multiplicativity of the linear combination of additive representation functions. Ramanujan Journal, 44 (2). pp. 385-399. ISSN 1382-4090
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Official URL: https://link.springer.com/article/10.1007/s11139-0...
Abstract
Let A be a set of positive integers. For a fixed k \ge 1 and a positive integer n let R_{A;k}(n) denote the number of representations of n as the sum of k terms from the set A. In this paper we give a necessary and sufficient condition to the multiplicativity of the function c_1R{A;1}(n)+c_2R_{A;2}(n), where c_1 and c_2 are integers and c_2 \ge 0.
Item Type: | Article |
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Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA71 Number theory / számelmélet |
Depositing User: | Dr Csaba Sándor |
Date Deposited: | 27 Sep 2018 19:47 |
Last Modified: | 05 Apr 2023 07:45 |
URI: | http://real.mtak.hu/id/eprint/85698 |
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