2 papers
math.NT2026
Atoms in the Semigroup of Non-Negative Integer Matrices
Lindsay Dever, Eva G. Goedhart, Gregory S. Heilbrunn +1
In the semigroup , two-by-two matrices with non-negative integer entries and non-zero determinant, we study the factorization of matrices into atoms, or…
math.NT2024
A tree approach to the happy function
Eva G. Goedhart, Yusuf Gurtas, Pamela E. Harris
In this article, we present a method to construct -power -happy numbers of any height. Using this method, we construct a tree that encodes these happy numbers, their heights,…