Some properties of Mahler coefficients of the $2$-adic shift
Volume 70 / 2022
Bulletin Polish Acad. Sci. Math. 70 (2022), 35-51
MSC: Primary 11S82; Secondary 37A05.
DOI: 10.4064/ba211118-31-3
Published online: 12 May 2022
Abstract
We prove some valuation properties of Mahler coefficients of the $2$-adic shift. We deduce some properties related to Mahler coefficients of general locally scaling transformations on $\mathbb {Z}_{2}$.
