Results 291 to 300 of about 863,417 (323)
On fuzzy Henstock-Stieltjes integral on time scales with respect to bounded variation function. [PDF]
Li J, Li Y, Shao Y.
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Bulletin of the Australian Mathematical Society, 2021
We show that there are biases in the number of appearances of the parts in two residue classes in the set of ordinary partitions. More precisely, let $p_{j,k,m} (n)$ be the number of partitions of n such that there are more parts congruent to j modulo ...
Byungchan Kim, Eunmi Kim
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We show that there are biases in the number of appearances of the parts in two residue classes in the set of ordinary partitions. More precisely, let $p_{j,k,m} (n)$ be the number of partitions of n such that there are more parts congruent to j modulo ...
Byungchan Kim, Eunmi Kim
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Tau Functions and their Applications, 2021
Let L denote the positive octant of the regular d-dimensional cubic lattice. The summands in the d-partition are thus nonincreasing in each of the d lattice directions. We agree to suppress all zero labels.
George E. Andrews
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Let L denote the positive octant of the regular d-dimensional cubic lattice. The summands in the d-partition are thus nonincreasing in each of the d lattice directions. We agree to suppress all zero labels.
George E. Andrews
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On integer partitions and continued fraction type algorithms
The Ramanujan journal, 2021Our goal is to show that the additive-slow-Farey version of the Triangle map (a type of multidimensional continued fraction algorithm) gives us a method for producing a map from the set of integer partitions of a positive number n into itself.
Wael Baalbaki+4 more
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On Product Partitions of Integers
Canadian Mathematical Bulletin, 1991AbstractLet p*(n) denote the number of product partitions, that is, the number of ways of expressing a natural number n > 1 as the product of positive integers ≥ 2, the order of the factors in the product being irrelevant, with p*(1) = 1. For any integer if d is an ith power, and = 1, otherwise, and let . Using a suitable generating function for p*(
M. V. Subbarao, V. C. Harris
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On the distribution of rank and crank statistics for integer partitions
Research in Number Theory, 2018Let k be a positive integer and m be an integer. Garvan’s k-rank $$N_k(n,m)$$Nk(n,m) is the number of partitions of n into at least $$(k-1)$$(k-1) successive Durfee squares with k-rank equal to m. In this paper we give some asymptotics for $$N_k(n,m)$$Nk(
N. Zhou
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