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
Full text not available from this repository.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: |
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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: |
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Refereed: | Yes | ||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/27433 |
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