Několik kapitol z nauky o číslech
Netted matrices.
New bounds for union-free families of sets.
New bounds on the number of representation of as a binomial coefficient.
Nonanalyticity of solutions to
It is proved that the solution to the initial value problem , u(0,x) = 1/(1+x²), does not belong to the Gevrey class in time for 0 ≤ s < 1. The proof is based on an estimation of a double sum of products of binomial coefficients.
Note sur les coefficients du binôme de Newton
Notes on a family of Riordan arrays and associated integer Hankel transforms.