Some remarks on a paper of V. A. Liskovets

Details Some remarks on a paper of V. A. Liskovets Some remarks on a paper of V. A. Liskovets

2011-01-25

arxiv.org/abs/1101.4823v1

Integers: Electronic Journal of Combinatorial Number Theory, 11 (2011), #A51

Mathematics

Number Theory

10 pages

Scientific paper

We deduce new properties of the orbicyclic function $E$ of several variables investigated in a recent paper by V. A. Liskovets. We point out that the function $E$ 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.

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