T. Tossavainen

activity

20172019

most citedThe spectral norm of a Horadam circulant matrix

2 citations · 2 across the 1 of their papers we have counts for

collaborators

3 papers

math.NT2019

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…

math.NT2018

The arithmetic derivative and Leibniz-additive functions

Pentti Haukkanen, Jorma K. Merikoski, Timo Tossavainen

An arithmetic function $f$ is Leibniz-additive if there is a completely multiplicative function $h_{f}$ , i.e., $h_{f} (1) = 1$ and $h_{f} (mn) = h_{f} (m) h_{f} (n)$ for all positive integers $m$ and…

math.NT2017★ 2 cited

The spectral norm of a Horadam circulant matrix

Jorma K. Merikoski, Pentti Haukkanen, Mika Mattila +1

Let $a$ , $b$ , $p$ , $q$ be integers and~ $(h_{n})$ defined by $h_{0} = a$ , $h_{1} = b$ , $h_{n} = p h_{n - 1} + q h_{n - 2}$ , $n = 2, 3, \dots$ . Complementing to certain previously known results, we study the…