컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0121 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | (AL) Algebra (AL) |
| 발표시간(Time) | 20th-C-10:00 -- 10:20 |
| 영문제목 (Title(Eng.)) |
Some partition identities over totally real number fields |
| 저자(Author(s)) |
Sewook Jang1, Byeongmoon Kim1, Kwanghoon Kim1 Gangneung-Wonju National University1 |
| 초록본문(Abstract) | We study the partition theory over totally real number fields. Let $K$ be a totally real number field. A partition of a totally positive algebraic integer $\delta$ over $K$ is $\lambda=(\lambda_1,\lambda_2,\ldots,\lambda_r)$ for some totally positive integers $\lambda_i$ such that $\delta=\lambda_1+\lambda_2+\cdots+\lambda_r$. We prove three identities on the partition of a totally positive algebraic integer over a totally real number field, which generalize the Euler-Glaisher Theorem, the Sylvester Theorem, and the Rogers-Ramanujan Identities. |
| 분류기호 (MSC number(s)) |
11P81, 11P84, 11R80 |
| 키워드(Keyword(s)) | Partition, identities, totally real fields |
| 강연 형태 (Language of Session (Talk)) |
Korean |