New Connections Between Functions from Additive and Multiplicative Number Theory

In this paper, we investigate new connections between the seemingly disparate branches of the additive and multiplicative number theory. Two infinite families of identities are proved in this context using an interplay of combinatorial and q -series methods. These general results are illustrated con...

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Vydané v:	Mediterranean journal of mathematics Ročník 15; číslo 2; s. 1 - 13
Hlavný autor:	Merca, Mircea
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer International Publishing 01.04.2018 Springer Nature B.V
Predmet:	Combinatorial analysis Mathematical functions Mathematics Mathematics and Statistics Number theory Partitions (mathematics) partitions 11P81 11P84 divisors 05A19 Arithmetic functions 11A25 05A17
ISSN:	1660-5446, 1660-5454
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