Bundschuh, Peter and Vaananen, Keijo (2020). ARITHMETICAL RESULTS ON SOME INFINITE PRODUCTS. Funct. Approx. Comment. Math., 63 (2). S. 181 - 189. POZNAN: WYDAWNICTWO NAUKOWE UAM. ISSN 0208-6573
Full text not available from this repository.Abstract
We shall study some special infinite products obtained by modifying the product expression of the generating function of the Thue-Morse sequence. We first prove that these products are transcendental functions. Then the values of these functions at algebraic points are proved to be transcendental by applying Mahler's method to suitably constructed auxiliary functions. Finally, also irrationality exponents of the values at rational points are considered.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-310076 | ||||||||||||
DOI: | 10.7169/facm/1844 | ||||||||||||
Journal or Publication Title: | Funct. Approx. Comment. Math. | ||||||||||||
Volume: | 63 | ||||||||||||
Number: | 2 | ||||||||||||
Page Range: | S. 181 - 189 | ||||||||||||
Date: | 2020 | ||||||||||||
Publisher: | WYDAWNICTWO NAUKOWE UAM | ||||||||||||
Place of Publication: | POZNAN | ||||||||||||
ISSN: | 0208-6573 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Faculty of Mathematics and Natural Sciences | ||||||||||||
Divisions: | Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute | ||||||||||||
Subjects: | no entry | ||||||||||||
Uncontrolled Keywords: |
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Refereed: | Yes | ||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/31007 |
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