A tiling approach to eight identities of Rogers

作者:Little David P*; Sellers James A
来源:European Journal of Combinatorics, 2010, 31(3): 694-709.
DOI:10.1016/j.ejc.2009.10.005

摘要

Beginning in 1893, L.J. Rogers Produced a collection of papers in which lie considered series expansions of infinite products Over the years, his identities have been given a variety of partition-theoretic interpretations and Proofs. These existing combinatorial techniques, however, do not highlight the similarities and the subtle differences seen in so many of these remarkable identities It is the goal of this paper to present a new combinatorial approach that unifies numerous q-series Identities The eight

  • 出版日期2010-4