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Multiplicative functions additive on polygonal numbers
- Kim, Byungchan;
- Kim, Ji Young;
- Lee, Chong Gyu;
- Park, Poo-Sung
Citations
WEB OF SCIENCE
4Citations
SCOPUS
6초록
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.
키워드
Multiplicative function; Polygonal numbers; Pentagonal numbers; Hexagonal numbers; Functional equation; Additive uniqueness set; UNIQUENESS SETS; SQUARES; SUMS
- 제목
- Multiplicative functions additive on polygonal numbers
- 저자
- Kim, Byungchan; Kim, Ji Young; Lee, Chong Gyu; Park, Poo-Sung
- 발행일
- 2021-08
- 유형
- Article
- 권
- 95
- 호
- 4
- 페이지
- 601 ~ 621