3 citations · 6 across the 6 of their papers we have counts for
7 papers
On generalized eigenvalues of MAX matrices to MIN matrices and of LCM matrices to GCD matrices
Jorma K. Merikoski, Pentti Haukkanen, Antonio Sasaki +1
We determine, for any n 1, the generalized eigenvalues of an n x n MAX matrix to the corresponding MIN matrix. We also show that a similar result holds for the generalized ei…
Arithmetic Subderivatives and Leibniz-Additive Functions
Jorma K. Merikoski, Pentti Haukkanen, Timo Tossavainen
We first introduce the arithmetic subderivative of a positive integer with respect to a non-empty set of primes. This notion generalizes the concepts of the arithmetic derivative a…
The arithmetic derivative and Leibniz-additive functions
Pentti Haukkanen, Jorma K. Merikoski, Timo Tossavainen
An arithmetic function is Leibniz-additive if there is a completely multiplicative function , i.e., and for all positive integers and…
The spectral norm of a Horadam circulant matrix
Jorma K. Merikoski, Pentti Haukkanen, Mika Mattila +1
Let , , , be integers and~ defined by , , , . Complementing to certain previously known results, we study the…
Asymptotics for numbers of line segments and lines in a square grid
Pentti Haukkanen, Jorma K. Merikoski
We present an asymptotic formula for the number of line segments connecting q+1 points of an nxn square grid, and a sharper formula, assuming the Riemann hypothesis. We also presen…
Asymptotics of the number of threshold functions on a two-dimensional rectangular grid
Pentti Haukkanen, Jorma K. Merikoski
Let , . It is well-known that the number of (two-dimensional) threshold functions on an rectangular grid is {eqnarray*} t(m,n)=\frac{6}{π^2}(mn)^2+O(m…