Results 41 to 50 of about 167 (109)
On the Okounkov-Olshanski formula for standard tableaux of skew shapes [PDF]
, 2022 The classical hook length formula counts the number of standard tableaux of straight shapes. In 1996, Okounkov and Olshanski found a positive formula for the number of standard Young tableaux of a skew shape.
H. Morales, Alejandro H. +1 more
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TO TEACH COMBINATORICS, USING SELECTED PROBLEMS [PDF]
, 2012 In 1972, professor Grigore Moisil, the most famous Romanian academician for Mathematics, said about Combinatorics, that it is “an opportunity of a renewed gladness”, because “each problem in the domain asks for its solving, an expenditure without any ...
Modan, Laurentiu
core +3 more sources
Subspace profiles over finite fields and q-Whittaker expansions of symmetric functions
Forum of Mathematics, SigmaBender, Coley, Robbins, and Rumsey posed the problem of counting the number of subspaces which have a given profile with respect to a linear endomorphism defined on a finite vector space.
Samrith Ram
doaj +1 more source
The expected number of inversions after n adjacent transpositions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 We give a new expression for the expected number of inversions in the product of n random adjacent transpositions in the symmetric group S_{m+1}. We then derive from this expression the asymptotic behaviour of this number when n scales with m in various ...
Mireille Bousquet-Mélou
doaj +1 more source
Intermediate symplectic characters and shifted plane partitions of shifted double staircase shape [PDF]
, 2021 We use intermediate symplectic characters to give a proof and variations of Hopkins' conjecture, now proved by Hopkins and Lai, on the number of shifted plane partitions of shifted double staircase shape with bounded entries.
Okada, Soichi, Soichi Okada
core +1 more source
On hyperbolic k-Pell quaternions sequences [PDF]
, 2018 In this paper we introduce the hyperbolic k-Pell functions and new classes of quaternions associated with this type of functions are presented.
Catarino, Paula
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Veterinary Dermatology, Volume 36, Issue 6, Page 814-824, December 2025.Background: Gabapentin reportedly decreases central sensitisation, a disorder associated with chronic pruritus in humans, although this is not well documented in cats. Its combined use with the standard antipruritic therapy for feline atopic skin syndrome (FASS) is not yet described.
Jeanne Morency +10 more
wiley +1 more source
, 2009 . We study the descent distribution over the set of centrosymmetric permutations that avoid a pattern of length 3. In the most puzzling case, namely, τ = 123 and n even, our main tool is a bijection that associates a Dyck pre x of length 2n to every ...
Marilena Barnabei +2 more
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Colored multiset Eulerian polynomials [PDF]
Colored multiset Eulerian polynomials are a common generalization of MacMahon's multiset Eulerian polynomials and the colored Eulerian polynomials, both of which are known to satisfy well-studied distributional properties including real-rootedness, log ...
Solus, Liam +5 more
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Veterinary Dermatology, Volume 36, Issue 6, Page 825-837, December 2025.Background: Inhibition of the Janus kinase pathway is an established treatment for allergic dermatitis. Objective: To evaluate the efficacy and safety of ilunocitinib for control of pruritus in dogs with allergic dermatitis in a randomised, double‐masked clinical trial.
Sophie Forster +5 more
wiley +1 more source