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.
On congruence properties of the partition function.
On convexity of polynomial paths and generalized majorizations.
On degree sequences of graphs with given cyclomatic number.
On elementary lower bounds for the partition function.
On entropies of occupancy distributions
On generalized symmetric means and Stirling numbers of the second kind
On Hales-Jewett's theorem.
On multiperiodic infinite recursions and their finite core.
On partitions and cyclotomic polynomials.
On partitions with limited summands