Integral matrices as diagonal quadratic forms
Jungin Lee · Linear and Multilinear Algebra · 2017
In this paper, we investigate the conditions under which a diagonal quadratic form ∑i=1maiXi2 represents every n×n integral matrix, where ai (1≤i≤m) are integers. For n=2, we give a necessary and sufficient condition. Also we give some sufficient conditions for each n≥2 where ai (1≤i≤m) are pairwise coprime.