Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897097 | Journal of Number Theory | 2018 | 27 Pages |
Abstract
We give positive characteristic analogues of complex entire functions having remarkable property that their values as well as their derivatives of any order at any nonzero algebraic numbers are algebraically independent. These results are obtained by establishing a criterion for the algebraic independence of the values of Mahler functions as well as that of the algebraic independence of the Mahler functions themselves over any function fields of positive characteristic.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Akinari Goto, Taka-aki Tanaka,