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Extra Form
강연자 김병찬
소속 서울과학기술대학교
date 2015-04-02

To explain Ramanujan's integer partition function congruences, Dyson's rank and Andrews-Garvan's crank have been introduced. The generating functions for these two partition statistics are typical examples of mock Jacobi forms and Jacobi forms, and have been scorches of numerous researches in number theory and combinatorics. In particular, studying how their distributions differ is one of main themes in the theory of partitions. In this talk, we introduce recent results on their distributions with emphasizing on roles of q-series, combinatorial methods, and modular forms.


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List of Articles
카테고리 제목 소속 강연자
수학강연회 Green’s function for initial-boundary value problem file National Univ. of Singapore Shih-Hsien Yu
수학강연회 Mechanization of proof: from 4-Color theorem to compiler verification file 서울대 컴퓨터공학부 허충길
수학강연회 On the distributions of partition ranks and cranks file 서울과학기술대학교 김병찬
수학강연회 Q-curvature in conformal geometry file 서강대 Pak Tung Ho
수학강연회 Zeros of the derivatives of the Riemann zeta function file 연세대 기하서
수학강연회 Geometry, algebra and computation in moduli theory file 서울대 현동훈
수학강연회 Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology file IBS, 포항공과대학교 오용근
수학강연회 High dimensional nonlinear dynamics file 경북대학교 도영해
수학강연회 What is model theory? file 연세대 김병한
수학강연회 Essential dimension of simple algebras file KAIST 백상훈
수학강연회 Restriction theorems for real and complex curves file 포항공과대학교 박종국
수학강연회 Recommendation system and matrix completion: SVD and its applications (학부생을 위한 강연) file 서울대 전기공학부 정교민
수학강연회 Deformation spaces of Kleinian groups and beyond file Osaka University Kenichi Ohshika
수학강연회 Idempotents and topologies file University of Waterloo Nico Spronk
수학강연회 Recent progress on the Brascamp-Lieb inequality and applications file Saitama University Neal Bez
수학강연회 Existence of positive solutions for φ-Laplacian systems file 이용훈 수학강연회,특별강연,대중강연
수학강연회 Riemann-Hilbert correspondence for irregular holonomic D-modules file 서울대학교/RIMS Masaki Kashiwara
수학강연회 Normal form reduction for unconditional well-posedness of canonical dispersive equations file KAIST 권순식
수학강연회 Random conformal geometry of Coulomb gas formalism file 서울대학교 강남규
수학강연회 Categorification of Donaldson-Thomas invariants file 서울대학교 김영훈
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