수학과 2018년 2학기 정기특강으로 조합론에서의 정수의 분할에 관한 내용입니다.
학부생들의 많은 참여바랍니다.

1. 일시 : 2018년 11월 16일 (금) 오후 4시 30분 ~ 5시 30분
2. 장소 : 아산이학관 526호
3. 연사 : 서승현 (강원대)
4. 제목 : Integer partitions with prescribed successive rank parity blocks
5. 초록 : Successive ranks of a partition, which were introduced by Atkin, are the difference of the i-th row and the i-th column in the Ferrers diagram. Recently, in the study of singular overpartitions, Andrews revisited successive ranks and parity blocks. Motivated by his work, we investigate partitions with prescribed successive rank parity blocks. The main part of this talk is the generating function of partitions with exactly d successive ranks and m parity blocks. With this generating functions, we also present q-series identities including a truncated version of Euler’s pentagonal number theorem. This talk is based on the joint work with Ae Ja Yee (Penn State).