Some remarks on a paper of V. A. Liskovets
Number Theory
2011-10-10 v1 Combinatorics
Abstract
We deduce new properties of the orbicyclic function of several variables investigated in a recent paper by V. A. Liskovets. We point out that the function and its connection to the number of solutions of certain linear congruences occur in the literature in a slightly different form. We investigate another similar function considered by Deitmar, Koyama and Kurokawa by studying analytic properties of some zeta functions of Igusa type. Simple number theoretic proofs for some known properties are also given.
Keywords
Cite
@article{arxiv.1101.4823,
title = {Some remarks on a paper of V. A. Liskovets},
author = {László Tóth},
journal= {arXiv preprint arXiv:1101.4823},
year = {2011}
}
Comments
10 pages