Some remarks on a paper of VA Liskovets
L Tóth - 2012 - degruyter.com
2012•degruyter.com
We deduce new properties of the orbicyclic function E of several variables investigated in a
recent paper by VA 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.
recent paper by VA 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.
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.
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