期刊: JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021; 182 ()
We study and classify faithfully balanced modules for the algebra of triangular nby nmatrices and more generally for Nakayama algebras. The theory ext......
期刊: JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021; 184 ()
We study Young's seminormal basis vectors of the dual Specht modules of the symmetric group, indexed by a certain class of standard tableaux, and thei......
期刊: JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021; 183 ()
We prove that the enumerative polynomials of Stirling multipermutations by the statistics of plateaux, descents and ascents are partial gamma-positive......
期刊: JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021; 182 ()
In 2000, Kadell gave an orthogonality conjecture for a symmetric function generalization of the q-Dyson constant term identity or the Zeilberger-Bress......
期刊: JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021; 181 ()
Let K be an abelian group of order v. A Steiner quadruple system of order v(SQS(v)) ( K, B) is called symmetric K-invariant if for each B is an elemen......
期刊: JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021; 182 ()
We show that a set Aof lines in PG(4, q), qeven, is the set of secant lines of a parabolic (non-singular) quadric if and only if Asatisfies the follow......
期刊: JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021; 182 ()
In this paper, we prove a congruence which contains a congruence conjectured by Adamchuk (OEIS A066796 in 2006, http://d4034e8979caa11c068d53cab5c29a1......
期刊: JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021; 183 ()
We extend recent results of Ono and Raji, relating the number of self-conjugate 7-core partitions to Hurwitz class numbers. Furthermore, we give a com......
期刊: JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021; 183 ()
Kuhn, Osthus, and Treglown and, independently, Khan proved that if His a 3-uniform hypergraph with n vertices, where n epsilon 3Z and large, and delta......
期刊: JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021; 184 ()
Novak conjectured in 1974 that for any cyclic Steiner triple systems of order v with v equivalent to 1(mod 6), it is always possible to choose one blo......
期刊: JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021; 183 ()
A set S subset of N of positive integers is a Sidon set if the pairwise sums of its elements are all distinct, or, equivalently, if vertical bar(x + w......
期刊: JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021; 181 ()
In 2008 Branden proved a (p, q)-analogue of the gamma-expansion formula for Eulerian polynomials and conjectured the divisibility of the gamma-coeffic......
期刊: JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021; 181 ()
Let a and h be positive integers and let p be a prime. Let q1,..., qt be the distinct prime divisors of hand write Q(h) = {Sigma(t)(i) = 1c(i)q(i): c(......
期刊: JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021; 182 ()
With the help of the creative microscoping method recently introduced by Guo and Zudilin and the Chinese remainder theorem for coprime polynomials, we......
期刊: JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021; 184 ()
The quintuple product identity is deduced from the q-Dixon formula. (C) 2021 Elsevier Inc. All rights reserved.