Event
01_1
| 제출번호(No.) | 0016 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Algebra (AL) |
| 영문제목 (Title(Eng.)) |
Additive uniqueness of almost primes |
| 저자(Author(s)) |
Poo-Sung Park1 Kyungnam University1 |
| 초록본문(Abstract) | In 1992 C. Spiro showed that if a multiplicative function $f$ satisfies $f(p+q) = f(p)+f(q)$ for all primes $p$ and $q$ and $f(p_0)$ does not vanish at some prime $p_0$, then $f$ is the identity function. In this article we extend Spiro's result to products of exactly $k$ prime factors with multiplicity, which are called $k$-almost primes. That is, if a multiplicative function $f$ satisfies $f(P+Q) = f(P)+f(Q)$ for all $k$-almost primes $P$ and $Q$ and $f(n_0)$ does not vanish at some $k$-almost prime $n_0$, then $f$ is the identity function. |
| 분류기호 (MSC number(s)) |
11A25 |
| 키워드(Keyword(s)) | additive uniqueness, multiplicative function, functional equation |
| 강연 형태 (Language of Session (Talk)) |
Korean |