Ramanujan type congruences for a partition function.
Reconstructing integer sets from their representation functions.
Reconstruction of partitions.
Regularly spaced subsums of integer partitions
Relations binaires entre partitions
Remarks to a modification of Ramsey-type theorems
Representation functions with different weights
For any given positive integer k, and any set A of nonnegative integers, let denote the number of solutions of the equation n = a₁ + ka₂ with a₁,a₂ ∈ A. We prove that if k,l are multiplicatively independent integers, i.e., log k/log l is irrational, then there does not exist any set A ⊆ ℕ such that both and hold for all n ≥ n₀. We also pose a conjecture and two problems for further research.
Rogers-Ramanujan-Slater type identities.
RSK insertion for set partitions and diagram algebras.