AbstractIf s and t are relatively prime positive integers we show that the s-core of a t-core partition is again a t-core partition. A similar result is proved for bar partitions under the additional assumption that s and t are both odd
AbstractFor a positive integer t, a partition is said to be a t-core if each of the hook numbers fro...
A beautiful recent conjecture of Armstrong predicts the average size of a partition that is simultan...
AbstractA conjecture on the monotonicity of t-core partitions in an article of Stanton [Dennis Stant...
AbstractIf s and t are relatively prime positive integers we show that the s-core of a t-core partit...
Abstract. In this paper, the authors investigate the question of when a partition of n ∈ N is an s-c...
AbstractIn this paper, the authors investigate the question of when a partition of n∈N is an s-core ...
AbstractTextLet s,t be relatively prime positive integers. We prove a conjecture of Aukerman, Kane a...
AbstractWe consider the t-core of an s-core partition, when s and t are coprime positive integers. O...
$t$-core partitions have played important roles in the theory of partitions and related areas. In t...
Abstract. A beautiful recent conjecture of D. Armstrong predicts the average size of a partition tha...
A partition of a positive integer n is a nonincreasing sequence of positive integers with sum $n.$ H...
AbstractGiven two relatively prime integers s and t, we prove that there are exactly (⌊s2⌋+⌊t2⌋⌊s2⌋)...
AbstractTextLet s,t be relatively prime positive integers. We prove a conjecture of Aukerman, Kane a...
In this paper, the authors investigate the question of when a partition of n∈N is an s-core and also...
8 pagesInternational audienceSimultaneous core partitions have attracted much attention since Anders...
AbstractFor a positive integer t, a partition is said to be a t-core if each of the hook numbers fro...
A beautiful recent conjecture of Armstrong predicts the average size of a partition that is simultan...
AbstractA conjecture on the monotonicity of t-core partitions in an article of Stanton [Dennis Stant...
AbstractIf s and t are relatively prime positive integers we show that the s-core of a t-core partit...
Abstract. In this paper, the authors investigate the question of when a partition of n ∈ N is an s-c...
AbstractIn this paper, the authors investigate the question of when a partition of n∈N is an s-core ...
AbstractTextLet s,t be relatively prime positive integers. We prove a conjecture of Aukerman, Kane a...
AbstractWe consider the t-core of an s-core partition, when s and t are coprime positive integers. O...
$t$-core partitions have played important roles in the theory of partitions and related areas. In t...
Abstract. A beautiful recent conjecture of D. Armstrong predicts the average size of a partition tha...
A partition of a positive integer n is a nonincreasing sequence of positive integers with sum $n.$ H...
AbstractGiven two relatively prime integers s and t, we prove that there are exactly (⌊s2⌋+⌊t2⌋⌊s2⌋)...
AbstractTextLet s,t be relatively prime positive integers. We prove a conjecture of Aukerman, Kane a...
In this paper, the authors investigate the question of when a partition of n∈N is an s-core and also...
8 pagesInternational audienceSimultaneous core partitions have attracted much attention since Anders...
AbstractFor a positive integer t, a partition is said to be a t-core if each of the hook numbers fro...
A beautiful recent conjecture of Armstrong predicts the average size of a partition that is simultan...
AbstractA conjecture on the monotonicity of t-core partitions in an article of Stanton [Dennis Stant...