Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772718 | Journal of Number Theory | 2017 | 31 Pages |
Abstract
Allouche and Shallit introduced the notion of a regular power series as a generalisation of automatic sequences. Becker showed that all regular power series satisfy Mahler equations and conjectured equivalent conditions for the converse to be true. We prove a stronger form of Becker's conjecture for a subclass of Mahler power series.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Tomasz Kisielewski,