3 papers
math.NT2022
Quadratic Symmetric Polynomials and an analogue of the Davenport Constant
Hemar Godinho, Abílio Lemos, Victor Neumann +1
In this paper, we define the constant , an analogue for the Davenport constant, for sequences on the finite field , defined via quadratic symmetric polynomia…
math.CO2019
On a new formula for the number of unrestricted partitions
Hemar Godinho, José Plínio O. Santos
In this paper we present a new formula for the number of unrestricted partitions of . We do this by introducing a correspondence between the number of unrestrited partitions of…
math.NT2018
Weighted EGZ Constant for p-groups of rank 2
Filipe Oliveira, Abílio Lemos, Hemar Godinho
Let be a finite abelian group of exponent , written additively, and let be a subset of . The constant is defined as the smallest integer such…