Bundschuh, P. and Vaananen, K. (2015). On certain Mahler functions. Acta Math. Hung., 145 (1). S. 150 - 159. DORDRECHT: SPRINGER. ISSN 1588-2632
Full text not available from this repository.Abstract
A few years ago, Pellarin introduced a new sequence of functions each one being holomorphic in the unit disc and satisfying a Mahler-type functional equation. It will be shown that every single function is hypertranscendental. Moreover, a certain subsequence consisting of functions that are algebraically independent over is exhibited, and all other functions are -linear combinations of these modulo . Mahler's method allows to deduce the corresponding arithmetic analogs from these analytic facts.
| Item Type: | Journal Article | ||||||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-413447 | ||||||||||||
| DOI: | 10.1007/s10474-014-0451-z | ||||||||||||
| Journal or Publication Title: | Acta Math. Hung. | ||||||||||||
| Volume: | 145 | ||||||||||||
| Number: | 1 | ||||||||||||
| Page Range: | S. 150 - 159 | ||||||||||||
| Date: | 2015 | ||||||||||||
| Publisher: | SPRINGER | ||||||||||||
| Place of Publication: | DORDRECHT | ||||||||||||
| ISSN: | 1588-2632 | ||||||||||||
| Language: | English | ||||||||||||
| Faculty: | Unspecified | ||||||||||||
| Divisions: | Unspecified | ||||||||||||
| Subjects: | no entry | ||||||||||||
| Uncontrolled Keywords: |
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/41344 |
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