New Ramanujan-Kolberg type partition identities
Publication
, Journal Article
Chan, HH; Hahn, H; Lewis, RP; Tan, SL
Published in: Mathematical Research Letters
January 1, 2002
In this article, we use functions studied by N. J. Fine and R. J. Evans to construct analogues of modular equations first discovered by S. Ramanujan. We then use these functions to construct new identities satisfied by Σn=0∞ p(ln+k)qn, with odd prime l and 0 ≤ k ≤ (l - 1). Our new partition identities are inspired by the work of O. Kolberg and Ramanujan.
Duke Scholars
Published In
Mathematical Research Letters
DOI
ISSN
1073-2780
Publication Date
January 1, 2002
Volume
9
Issue
5-6
Start / End Page
801 / 811
Related Subject Headings
- General Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Chan, H. H., Hahn, H., Lewis, R. P., & Tan, S. L. (2002). New Ramanujan-Kolberg type partition identities. Mathematical Research Letters, 9(5–6), 801–811. https://doi.org/10.4310/mrl.2002.v9.n6.a8
Chan, H. H., H. Hahn, R. P. Lewis, and S. L. Tan. “New Ramanujan-Kolberg type partition identities.” Mathematical Research Letters 9, no. 5–6 (January 1, 2002): 801–11. https://doi.org/10.4310/mrl.2002.v9.n6.a8.
Chan HH, Hahn H, Lewis RP, Tan SL. New Ramanujan-Kolberg type partition identities. Mathematical Research Letters. 2002 Jan 1;9(5–6):801–11.
Chan, H. H., et al. “New Ramanujan-Kolberg type partition identities.” Mathematical Research Letters, vol. 9, no. 5–6, Jan. 2002, pp. 801–11. Scopus, doi:10.4310/mrl.2002.v9.n6.a8.
Chan HH, Hahn H, Lewis RP, Tan SL. New Ramanujan-Kolberg type partition identities. Mathematical Research Letters. 2002 Jan 1;9(5–6):801–811.
Published In
Mathematical Research Letters
DOI
ISSN
1073-2780
Publication Date
January 1, 2002
Volume
9
Issue
5-6
Start / End Page
801 / 811
Related Subject Headings
- General Mathematics
- 0101 Pure Mathematics