A partition bijection related to the Rogers-Selberg identities and Gordon's theorem
نویسنده
چکیده
We provide a bijective map from the partitions enumerated by the series side of the Rogers-Selberg mod 7 identities onto partitions associated with a special case of Basil Gordon’s combinatorial generalization of the Rogers-Ramanujan identities. The implications of applying the same map to a special case of David Bressoud’s even modulus analog of Gordon’s theorem are also explored.
منابع مشابه
The Rogers–Selberg recursions, the Gordon–Andrews identities and intertwining operators
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 115 شماره
صفحات -
تاریخ انتشار 2008