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Combinatorics of faithfully balanced modules

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......

Young's seminormal basis vectors and their denominators

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......

Statistics on multipermutations and partial gamma-positivity

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......

A recursion for a symmetric function generalization of the q-Dyson constant term identity

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......

Symmetric abelian group-invariant Steiner quadruple systems

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......

Characterising the secant lines of Q(4, q), q even

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......

Proof of a conjecture of Adamchuk

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......

On t-core and self-conjugate (2t-1)-core partitions in arithmetic progressions

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......

Rainbow matchings for 3-uniform hypergraphs

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......

Novak's conjecture on cyclic Steiner triple systems and its generalization

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......

On strong Sidon sets of integers

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......

Branden's (p, q)-Eulerian polynomials, Andre permutations and continued fractions

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......

Constructions of Butson Hadamard matrices invariant under Abelian p-groups

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(......

Some q-supercongruences modulo the fourth power of a cyclotomic polynomial

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......

A semi-finite form of the quintuple product identity

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.

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