Log-concavity of the overpartition functiondoi:10.1007/S11139-015-9762-0Benjamin EngelSpringer USB. Engel, Log-concavity of the overpartition function, Ramanujan J. 43 (2) (2017) 229-241.
Chen, W.Y.C., Wang, L.X.W., Xie, G.Y.B.: Finite differences of the logarithm of the partition function. Math. Comput. 85(298), 825–847 (2016) Article MathSciNet MATH Google Scholar DeSalvo, S., Pak, I.: Log-concavity of the partition function. Ramanujan J. 38, 61–73 ...
活动地址:Online 报名清单 主办方 曲阜师范大学数学科学学院 讲座介绍 The (strong) q-log-concavity of q-binomial coefficients has been extensively investigated. Recently, Dousse and Kim introduced an overpartition analogue of q-binomial coefficients, which is a generating function for the number of ove...
{in,kΛ}k=1n) when taking Λ to be the set of all partitions of n. They noted that the log-concavity of {ℓn,kΛ}k=1n is equivalent to that of {in,kΛ}k=1n provided that the set Λ contains at most one partition with first row of length k for each 1≤k≤n. They ...
Afterwards, the dihedral-angle and concavity of the surfaces is taken into account to produce the final segments. This kind of segmentation provides additional insights into the complexity of the parts that are forming the building element. Therefore, we count the segments, measure their area, and...
and is true under log-concavity assumption on \(\textsf {f}\) . instead of giving the full details, we explain the two possible ways in proving this proposition. one is via markov chain arguments as done, for example, in [ 35 , 93 , 100 ] previously. in [ 93 ] for example, ...
of weakness, backbreak, concavity, unusual jointing and overhang. b) BLASTHOLE LAYOUT AND LOADING: Any deviation in the direction of a blast hole can reduce or increase theburden. While loading a hole, blasters must frequently check the rise of the explosives column...
r-log-concavityPartition functionHardy-Ramanujan-Rademacher formulaLet \\(\\hat{\\mathscr {L}}\\) be the operator given by \\(\\hat{\\mathscr {L}} \\{a_n\\}_{n \\ge 0} = \\{a_{n+1}^2 - a_{n} a_{n+2} \\}_{n \\ge 0}\\). A sequence \\(\\{ a_n \\}_...
r-log-concavityPartition functionHardy-Ramanujan-Rademacher formulaLet be the operator given by . A sequence is called asymptotically r-log-concave if are non-negative sequences for and some integer N. Let p(n) be the number of integer partitions of n. We prove that the sequence is ...
Over-(qt)-binomial coefficientFinite versions of q-series identitiesCombinatorial proofsq-log concavityDelannoy numbersOverpartitionsIn a previous paper, we studied an overpartition aJournal of Combinatorial Theory - Series Adoi:10.1016/j.jcta.2018.03.011Dousse...