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math.NT2012★ 5 cited
Discrete Ramanujan-Fourier Transform of Even Functions (mod )
Pentti Haukkanen
An arithmetical function is said to be even (mod r) if f(n)=f((n,r)) for all n\in\Z^+, where (n, r) is the greatest common divisor of n and r. We adopt a linear algebraic appro…
math.NT2012
On the positive definiteness and eigenvalues of meet and join matrices
Mika Mattila, Pentti Haukkanen
In this paper we study the positive definiteness of meet and join matrices using a novel approach. When the set is meet closed, we give a sufficient and necessary condition f…