Free k-tuples in linear groups
نویسندگان
چکیده
منابع مشابه
Congruences for Overpartition K-tuples
An overpartition of the nonnegative integer n is a non-increasing sequence of natural numbers whose sum is n in which the first occurrence of a number may be overlined. Let k ≥ 1 be an integer. An overpartition k-tuple of a positive integer n is a k-tuple of overpartitions wherein all listed parts sum to n. Let pk(n) be the number of overpartition k-tuples of n. In this paper, we will give a sh...
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Abstract Recently, Lovejoy introduced the construct of overpartition pairs which are a natural generalization of overpartitions. Here we generalize that idea to overpartition ktuples and prove several congruences related to them. We denote the number of overpartition k-tuples of a positive integer n by pk(n) and prove, for example, that for all n ≥ 0, pt−1(tn + r) ≡ 0 (mod t) where t is prime a...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1983
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700026204