More monotonicity theorems for partitions.
Multi-ordered posets.
-color partitions with weighted differences equal to minus two.
Některé relace mezi kombinačními čísly
New infinite families of Ramanujan-type congruences modulo 9 for overpartition pairs
Let denote the number of overpartition pairs of n. Bringmann and Lovejoy (2008) proved that for n ≥ 0, . They also proved that there are infinitely many Ramanujan-type congruences modulo every power of odd primes for . Recently, Chen and Lin (2012) established some Ramanujan-type identities and explicit congruences for . Furthermore, they also constructed infinite families of congruences for modulo 3 and 5, and two congruence relations modulo 9. In this paper, we prove several new infinite...
Note on canonizing ordering theorems for Hales Jewett structures
Note on homomorphism interpolation theorem
Note sur la partition des nombres
Nouvelles propriétés arithmétiques des nombres de Bell
Number of alternatives in reducing finite spaces and vector spaces
Observations on the parity of the total number of parts in odd--part partitions.
Odd symplectic groups.
On a certain analogy of Stirling's numbers of the 2nd kind
On a conjecture of Andrews.
On a conjecture of Sárközy and Szemerédi
Two infinite sequences A and B of non-negative integers are called infinite additive complements if their sum contains all sufficiently large integers. In 1994, Sárközy and Szemerédi conjectured that there exist infinite additive complements A and B with lim sup A(x)B(x)/x ≤ 1 and A(x)B(x)-x = O(minA(x),B(x)), where A(x) and B(x) are the counting functions of A and B, respectively. We prove that, for infinite additive complements A and B, if lim sup A(x)B(x)/x ≤ 1, then, for any given M > 1,...
On a generalization of binomial coefficients. (Sur une généralisation des coefficients binomiaux.)
On a partition function of Richard Stanly.
On a restricted -non-squashing partition function.
On an extremal characterization of partitions
On an integer sequence related to a product of trigonometric functions, and its combinatorial relevance.