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
AbstractGiven two relatively prime integers s and t, we prove that there are exactly (⌊s2⌋+⌊t2⌋⌊s2⌋)...
AbstractWe prove that if t is an integer with t=8 or t⩾10, then every integer n>2 has a self-conjuga...
Let p and q be distinct primes, n an integer with n > p2q2. Then there is no partition of n which is...
AbstractIf s and t are relatively prime positive integers we show that the s-core of a t-core partit...
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...
Acknowledgements Part of this work was done at the Centre Interfacultaire Bernoulli (CIB), in the Éc...
Partition theory abounds with bijections between different types of partitions. One of the most famo...
$t$-core partitions have played important roles in the theory of partitions and related areas. In t...
AbstractTextLet s,t be relatively prime positive integers. We prove a conjecture of Aukerman, Kane a...
AbstractIn this paper, the authors investigate the question of when a partition of n∈N is an s-core ...
Abstract. In this paper, the authors investigate the question of when a partition of n ∈ N is an s-c...
AbstractA conjecture on the monotonicity of t-core partitions in an article of Stanton [Dennis Stant...
AbstractWe consider the t-core of an s-core partition, when s and t are coprime positive integers. O...
In 2007, Olsson and Stanton gave an explicit form for the largest (a; b)-core partition, for any rel...
AbstractGiven two relatively prime integers s and t, we prove that there are exactly (⌊s2⌋+⌊t2⌋⌊s2⌋)...
AbstractWe prove that if t is an integer with t=8 or t⩾10, then every integer n>2 has a self-conjuga...
Let p and q be distinct primes, n an integer with n > p2q2. Then there is no partition of n which is...
AbstractIf s and t are relatively prime positive integers we show that the s-core of a t-core partit...
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...
Acknowledgements Part of this work was done at the Centre Interfacultaire Bernoulli (CIB), in the Éc...
Partition theory abounds with bijections between different types of partitions. One of the most famo...
$t$-core partitions have played important roles in the theory of partitions and related areas. In t...
AbstractTextLet s,t be relatively prime positive integers. We prove a conjecture of Aukerman, Kane a...
AbstractIn this paper, the authors investigate the question of when a partition of n∈N is an s-core ...
Abstract. In this paper, the authors investigate the question of when a partition of n ∈ N is an s-c...
AbstractA conjecture on the monotonicity of t-core partitions in an article of Stanton [Dennis Stant...
AbstractWe consider the t-core of an s-core partition, when s and t are coprime positive integers. O...
In 2007, Olsson and Stanton gave an explicit form for the largest (a; b)-core partition, for any rel...
AbstractGiven two relatively prime integers s and t, we prove that there are exactly (⌊s2⌋+⌊t2⌋⌊s2⌋)...
AbstractWe prove that if t is an integer with t=8 or t⩾10, then every integer n>2 has a self-conjuga...
Let p and q be distinct primes, n an integer with n > p2q2. Then there is no partition of n which is...
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