Congruences for $m$-ary partitions.
نویسندگان
چکیده
منابع مشابه
Congruences for Hyper M-ary Overpartition Functions
We discuss a new restricted m-ary overpartition function hm(n), which is the number of hyper m-ary overpartitions of n, such that each power of m is allowed to be used at most m times as a non-overlined part. In this note we use generating function dissections to prove the following family of congruences for all n ≥ 0, m ≥ 4, j ≥ 0, 3 ≤ k ≤ m− 1, and t ≥ 1: hm(mn + mj+t−1k + · · · + mk) ≡ 0(mod...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1975
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-11589