A lattice path approach to counting partitionswith minimum

نویسندگان

  • Alexander Burstein
  • Sylvie Corteel
  • Carla D. Savage
چکیده

In this paper we give a combinatorial proof via lattice paths of the following result due to Andrews and Bressoud: for t 1, the number of partitions of n with all successive ranks at least t is equal to the number of partitions of n with no part of size 2 ? t. The identity is a special case of a more general theorem proved by Andrews and Bressoud using a sieve.

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تاریخ انتشار 2007