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SUMMARY:Krystian Gajdzica (Jagiellonian University\, Poland)
DTSTART:20220524T173000Z
DTEND:20220524T175500Z
DTSTAMP:20260423T011320Z
UID:CANT2022/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2022/8/"
 >Some inequalities for the multicolor restricted partition function $p_\\m
 athcal{A}(n\,k)$</a>\nby Krystian Gajdzica (Jagiellonian University\, Pola
 nd) as part of Combinatorial and additive number theory (CANT 2022)\n\n\nA
 bstract\nFor a non-decreasing sequence of positive integers $\\mathcal{A}=
 \\left(a_i\\right)_{i=1}^\\infty$ and a fixed integer $k\\geqslant1$\, the
  multicolor restricted partition function $p_\\mathcal{A}(n\,k)$ counts th
 e number of partitions of $n$ with parts in the multiset $\\{a_1\,a_2\,\\l
 dots\,a_k\\}$. The talk is devoted to some multiplicative inequalities rel
 ated to $p_\\mathcal{A}(n\,k)$. Among other things\, we will examine: the 
 Bessenrodt-Ono inequality for $p_\\mathcal{A}(n\,k)$\, the $\\log$-concavi
 ty of the sequence $\\left(p_\\mathcal{A}(n\,k)\\right)_{n=1}^\\infty$\, t
 he\nhigher order Tur\\'an property and other similar phenomena.\n
LOCATION:https://researchseminars.org/talk/CANT2022/8/
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