148 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Seoul National UniversityKR34 papers
- Sungkyunkwan UniversityKR17 papers
- Yonsei UniversityKR16 papers
- Korea UniversityKR15 papers
- Korea Institute for Advanced StudyKR14 papers
- University of PittsburghUS14 papers
- High Energy Accelerator Research OrganizationJP11 papers
- Kyungpook National UniversityKR11 papers
- Institute for Basic ScienceKR10 papers
- New Generation University CollegeET10 papers
- Tohoku UniversityJP10 papers
- Chonnam National UniversityKR9 papers
7 papers · 1 filter
Asymptotics and sign patterns for coefficients in expansions of Habiro elements
Ankush Goswami, Abhash Kumar Jha, Byungchan Kim +1
We prove asymptotics and study sign patterns for coefficients in expansions of elements in the Habiro ring which satisfy a strange identity. As an application, we prove asymptotics…
On spt-crank type functions
Min-Joo Jang, Byungchan Kim
In a recent paper, Andrews, Dixit, and Yee introduced a new spt-type function , which is closely related to Ramanujan's third order mock theta function $ω(…
On the asymptotic behavior of unimodal rank generating functions
Kathrin Bringmann, Byungchan Kim
In a recent paper, J. Lovejoy and the second author conjectured that ranks for four types of unimodal like sequences satisfy certain inequalities. In this paper, we prove these con…
Dissections of a "strange" function
Scott Ahlgren, Byungchan Kim
The "strange" function of Kontsevich and Zagier is defined by \[F(q):=\sum_{n=0}^\infty(1-q)(1-q^2)\dots(1-q^n).\] This series is defined only when is a root of unity, and prov…
The first positive rank and crank moments for overpartitions
George Andrews, Song Heng Chan, Byungchan Kim +1
In 2003, Atkin and Garvan initiated the study of rank and crank moments for ordinary partitions. These moments satisfy a strict inequality. We prove that a strict inequality also h…
Mock theta functions and weakly holomorphic modular forms modulo 2 and 3
Scott Ahlgren, Byungchan Kim
We prove that the coefficients of certain mock theta functions possess no linear congruences modulo 3. We prove similar results for the moduli 2 and 3 for a wide class of weakly ho…
Eichler integrals and harmonic weak Maass forms
Dohoon Choi, Byungchan Kim, Subong Lim
Recently, K. Bringmann, P. Guerzhoy, Z. Kent and K. Ono studied the connection between Eichler integrals and the holomorphic parts of harmonic weak Maass forms on the full modular…