BOKU University

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19952025

most citedExplainable Artificial Intelligence (XAI) 2.0: A Manifesto of Open Challenges and Interdisciplinary Research Directions

544 citations

Showing 2013 · math.NTShow all

4 papers · 2 filters

math.NT2013★ 14 cited

On the average number of subgroups of the group $Z_{m} \times Z_{n}$

Werner Georg Nowak, László Tóth

Let $Z_{m}$ be the group of residue classes modulo $m$ . Let $s (m, n)$ and $c (m, n)$ denote the total number of subgroups of the group $Z_{m} \times Z_{n}$ and the number of its cyclic s…

math.NT2013★ 7 cited

Another generalization of the gcd-sum function

László Tóth

We investigate an arithmetic function representing a generalization of the gcd-sum function, considered by Kurokawa and Ochiai in 2009 in connection with the multivariable global I…

math.NT2013★ 7 cited

Averages of Ramanujan sums: Note on two papers by E. Alkan

László Tóth

We give a simple proof and a multivariable generalization of an identity due to E. Alkan concerning a weighted average of the Ramanujan sums. We deduce identities for other weighte…

math.NT2013★ 5 cited

Some remarks on regular integers modulo $n$

Brăduţ Apostol, László Tóth

An integer $k$ is called regular (mod $n$ ) if there exists an integer $x$ such that $k^{2} x \equiv k$ (mod $n$ ). This holds true if and only if $k$ possesses a weak order (mod $n$ ), i…

On the average number of subgroups of the group Zm​×Zn​

Another generalization of the gcd-sum function

Averages of Ramanujan sums: Note on two papers by E. Alkan

Some remarks on regular integers modulo n

On the average number of subgroups of the group $Z_{m} \times Z_{n}$

Some remarks on regular integers modulo $n$