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Multiplicative functions additive on polygonal numbers
- Issue Date
- Aug-2021
- Publisher
- SPRINGER BASEL AG
- Keywords
- Multiplicative function; Polygonal numbers; Pentagonal numbers; Hexagonal numbers; Functional equation; Additive uniqueness set
- Citation
- AEQUATIONES MATHEMATICAE, v.95, no.4, pp.601 - 621
- Journal Title
- AEQUATIONES MATHEMATICAE
- Volume
- 95
- Number
- 4
- Start Page
- 601
- End Page
- 621
- ISSN
- 0001-9054
- Abstract
- We prove that the set P (H, resp.) of all positive pentagonal (hexagonal, resp.) numbers is an additive uniqueness set for the collection of multiplicative functions; if a multiplicative function f satisfies the equation f(a + b) = f(a) + f(b) for all a, b is an element of P (H, resp.), then f is the identity function.
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Related Researcher
- Lee, Chong Gyu
- College of Natural Sciences (Department of Mathematics)