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INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS.

Authors :
DUKE, WILLIAM
NGUYEN, HA NAM
Source :
Bulletin of the Australian Mathematical Society. Jun2015, Vol. 91 Issue 3, p400-411. 12p.
Publication Year :
2015

Abstract

We study analytic properties of certain infinite products of cyclotomic polynomials that generalise some products introduced by Mahler. We characterise those that have the unit circle as a natural boundary and use associated Dirichlet series to obtain their asymptotic behaviour near roots of unity. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*INFINITY (Mathematics)
*POLYNOMIALS
*RATIONAL root theorem
*INFINITE products
*DIRICHLET problem

Details

Language :
English
ISSN :
00049727
Volume :
91
Issue :
3
Database :
Academic Search Index
Journal :
Bulletin of the Australian Mathematical Society
Publication Type :
Academic Journal
Accession number :
102287590
Full Text :
https://doi.org/10.1017/S0004972715000039
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