Byungchan Kim

Department of Mathematics University of Illinois at Urbana-Champaign email: bkim4@illinois.edu office: 110 Altgeld Hall

I am a fifth year graduate student and my advisors are Prof. Ahlgren and Prof. Berndt.

Here's my CV.

Research Interests
Partition function, Partial theta function, Mock theta function.
Enumerative and Algebraic Combinatorics.
Modular and Automorphic Forms.
q-series and special functions.

Publications

1. The overpatition function modulo 128, Integers 8. A #38.
2. A short note on the overpartition function, Discrete Math., 309 (2009), 2528-2532.
3. Combinatorial proofs of certain identities involving partial theta functions, Inter. J. Number Theory, to appear (pdf).
4. A Crank analog on a certain kind of partition function arising from the cubic continued fraction, submitted (pdf).
5. Ramanujan's lost notebook: Combinatorial proof of identities associated with Heine's transformation or partial theta functions(with B. Berndt and A.J. Yee), J. Combin. Theory Ser. A, to appear (pdf).
6. On the subpartitions of the ordinary partitions, Ramanujan J.(Special issue for G.E. Andrews' 70th birthday), to appear (pdf).
7. On inequalities and linear relations for 7-core partitions , Discrete Math., to appear. (pdf).
8. The overcubic partition function mod 3, Proceedings of Ramanujan Rediscovered conference, to appear.
9. Partition identities from third and sixth order mock theta functions (with Y.-S. Choi), submitted.

Conferences

• Joint Meeting at SF.
• Previous conferences.

• Number Thy Seminar
• Number Thy Web
• Number Theory arXiv.
• Combinatorics arXiv.
• MathSciNet
• MathSciNet(via UIUC Library proxy)
• Seminar Calender at UIUC.
• Korean Tex Users Group.
• Wether forecast for Urbana.
• PhD Comincs.

• Links to some Journals.

• Homepages of mathematicians whose research interests ovelap with me.