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On the multiplicativity of the linear combination of additive representation functions

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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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
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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