Jackson q-Mahler measures

Hirano, Miki; Kurokawa, Nobushige

Funct. Approx. Comment. Math., Tome 42 (2010) no. 1, p. 51-58 / Harvested from Project Euclid

Résumé

In this note, we define a $q$-analogue of the Mahler measures by using the Jackson integral which we call the Jackson $q$-Mahler measures. Especially we study their classical limit for polynomials of one variable.

Publié le : 2010-03-15
Classification: Mahler measure, $q$-analogue, Jackson integral., 11M06

@article{1269437068,
     author = {Hirano, Miki and Kurokawa, Nobushige},
     title = {Jackson q-Mahler measures},
     journal = {Funct. Approx. Comment. Math.},
     volume = {42},
     number = {1},
     year = {2010},
     pages = { 51-58},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1269437068}
}

Hirano, Miki; Kurokawa, Nobushige. Jackson q-Mahler measures. Funct. Approx. Comment. Math., Tome 42 (2010) no. 1, pp.  51-58. http://gdmltest.u-ga.fr/item/1269437068/