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A combinatorial proof of the Rogers-Ramanujan and Schur identities |
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| Authors: | Cilanne Boulet Igor Pak |
| Institution: | Department of Mathematics, MIT, Cambridge, MA 02139, USA |
| Abstract: | We give a combinatorial proof of the first Rogers-Ramanujan identity by using two symmetries of a new generalization of Dyson's rank. These symmetries are established by direct bijections. |
| Keywords: | Rogers-Ramanujan identity Schur's identity Dyson's rank Bijection Integer partition |
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