Universität zu Köln

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

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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:	Creators Email ORCID ORCID Put Code Bundschuh, Peter UNSPECIFIED UNSPECIFIED UNSPECIFIED Vaananen, Keijo UNSPECIFIED UNSPECIFIED UNSPECIFIED
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:	Keywords Language Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/31007