New Congruences for Partitions where the Odd Parts are Distinct
نویسنده
چکیده
Let pod(n) denote the number of partitions of n wherein odd parts are distinct (and even parts are unrestricted). We find some new interesting congruences for pod(n) modulo 3, 5 and 9.
منابع مشابه
Congruences for the number of partitions and bipartitions with distinct even parts
Abstract Let ped(n) denote the number of partitions of n wherein even parts are distinct (and odd parts are unrestricted). We show infinite families of congruences for ped(n) modulo 8. We also examine the behavior of ped−2(n) modulo 8 in detail where ped−2(n) denotes the number of bipartitions of n with even parts distinct. As a result, we find infinite families of congruences for ped2(n) modul...
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