Universität zu Köln

Bundschuh, Peter and Vaananen, Keijo (2016). ARITHMETIC PROPERTIES OF INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS. Bull. Aust. Math. Soc., 93 (3). S. 375 - 388. CAMBRIDGE: CAMBRIDGE UNIV PRESS. ISSN 1755-1633

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Abstract

We study transcendence properties of certain infinite products of cyclotomic polynomials. In particular, we determine all cases in which the product is hypertranscendental. We then use various results from Mahler's transcendence method to obtain algebraic independence results on such functions and their values.

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:38-274333
DOI:	10.1017/S0004972715001550
Journal or Publication Title:	Bull. Aust. Math. Soc.
Volume:	93
Number:	3
Page Range:	S. 375 - 388
Date:	2016
Publisher:	CAMBRIDGE UNIV PRESS
Place of Publication:	CAMBRIDGE
ISSN:	1755-1633
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 ALGEBRAIC INDEPENDENCE; VALUES; SERIES Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/27433