The Mahler measure of a multivariate polynomial family with non-linear degree. (English) Zbl 07927439
Summary: We investigate the Mahler measure of a particular family of rational functions with an arbitrary number of variables and arbitrary degree in some of the variables, generalizing previous results for families with an arbitrary number of variables but linear dependence in each variable, obtained in [J. Number Theory 116 (2006), 102–139].
MSC:
| 11R06 | PV-numbers and generalizations; other special algebraic numbers; Mahler measure |
| 11M06 | \(\zeta (s)\) and \(L(s, \chi)\) |
| 11R42 | Zeta functions and \(L\)-functions of number fields |
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