Arunabha Biswas ; M Ram Murty - The Zeta Mahler measure of (zn1)/(z1)

hrj:5109 - Hardy-Ramanujan Journal, January 23, 2019 - https://doi.org/10.46298/hrj.2019.5109
The Zeta Mahler measure of (zn1)/(z1)Article

Authors: Arunabha Biswas 1; M Ram Murty 2,3

  • 1 Department of Mathematics Univ. North Texas
  • 2 Department of Mathematics and Statistics, Queen’s University
  • 3 Departement of Mathematics and Statistics [Kingston, Queen's University]

We consider the k-higher Mahler measure mk(P) of a Laurent polynomial P as the integral of logk|P| over the complex unit circle and zeta Mahler measure as the generating function of the sequence mk(P). In this paper we derive a few properties of the zeta Mahler measure of the polynomial Pn(z):=(zN1)/(z1) and propose a conjecture.


Published on: January 23, 2019
Imported on: January 23, 2019
Keywords: Mahler measure,higher Mahler measure 2010 Mathematics Subject Classification 11R06,11M99,[MATH]Mathematics [math],[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]
Funding:
    Source : OpenAIRE Graph
  • Funder: Natural Sciences and Engineering Research Council of Canada

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