Some Remarks on a Paper of V. A. Liskovets

Authors :: László Tóth
Source :: Integers. 12
Publication Year :: 2012
Publisher :: Walter de Gruyter GmbH, 2012.
Abstract: 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.<br />Comment: 10 pages

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