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|Title:||New Ramanujan-Kolberg type partition identities|
|Authors:||Chan, H.H. |
|Citation:||Chan, H.H.,Hahn, H.,Lewis, R.P.,Tan, S.L. (2002-09). New Ramanujan-Kolberg type partition identities. Mathematical Research Letters 9 (5-6) : 801-811. ScholarBank@NUS Repository.|
|Abstract:||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.|
|Source Title:||Mathematical Research Letters|
|Appears in Collections:||Staff Publications|
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