Recently, George Andrews gave a detailed study of partitions with even parts below odd parts in which only the largest even part appears an odd number of times. In this note, we provide a combinatorial proof of a generating function identity related to such partitions. This answers a problem of Andrews.
机构:
Penn State Univ, Dept Math, 104 McAllister Bldg, University Pk, PA 16802 USAPenn State Univ, Dept Math, 104 McAllister Bldg, University Pk, PA 16802 USA
机构:
Penn State Univ, Dept Math, 104 McAllister Bldg, University Pk, PA 16802 USAPenn State Univ, Dept Math, 104 McAllister Bldg, University Pk, PA 16802 USA