On Sumsets of Multisets in $\mathbb{Z}_p^m$
نویسندگان
چکیده
منابع مشابه
ON SUMSETS OF MULTISETS IN Zp
For a sequence A of given length n contained in Zp we study how many distinct subsums A must have when A is not “wasteful” by containing too many elements in same subgroup. Martin, Peilloux and Wong have made a conjecture for a sharp lower bound and established it when n is not too large whereas Peng has previously established the conjecture for large n. In this note we build on these earlier w...
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On Various Restricted Sumsets
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A permutation σ of a multiset is called Stirling permutation if σ(s) ≥ σ(i) as soon as σ(i) = σ(j) and i < s < j. In our paper we study Stirling polynomials that arise in the generating function for descent statistics on Stirling permutations of any multiset. We develop generalizations of the classical Stirling numbers and present their combinatorial interpretations. Particularly, we apply the ...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2013
ISSN: 1077-8926
DOI: 10.37236/3269