A multi-dimensional extension of Sylvester's identity

作者:Alladi Krishnaswami*
来源:International Journal of Number Theory, 2017, 13(10): 2487-2504.
DOI:10.1142/S179304211750138X

摘要

We obtain by combinatorial means, a multi-dimensional extension of Sylvester's famous identity of 1882 that generalized Euler's Pentagonal Numbers Theorem. We also provide a purely q-hypergeometric proof.

  • 出版日期2017-11