Large absolute values of cyclotomic polynomials at roots of unity

2021 ◽  
Author(s):  
Lilit Martirosyan ◽  
Pieter Moree
Keyword(s):  
Roots Of Unity ◽  
Cyclotomic Polynomials

INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS

2015 ◽  
Vol 91 (3) ◽  
pp. 400-411 ◽  
Author(s):  
WILLIAM DUKE ◽  
HA NAM NGUYEN
Keyword(s):  
Asymptotic Behaviour ◽  
Dirichlet Series ◽  
Unit Circle ◽  
Roots Of Unity ◽  
Cyclotomic Polynomials ◽  
Natural Boundary ◽  
Infinite Products

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.

scholarly journals Values of cyclotomic polynomials at roots of unity.

1981 ◽  
Vol 49 ◽  
pp. 15 ◽  
Author(s):  
R. P. Kurshan ◽  
A. M. Odlyzoko
Keyword(s):  
Roots Of Unity ◽  
Cyclotomic Polynomials

scholarly journals Cyclotomic polynomials at roots of unity

2018 ◽  
Vol 184 (3) ◽  
pp. 215-230 ◽  
Author(s):  
Bartłomiej Bzdęga ◽  
Andrés Herrera-Poyatos ◽  
Pieter Moree
Keyword(s):  
Roots Of Unity ◽  
Cyclotomic Polynomials

Hermite-Birkhoff Interpolation in the nth Roots of Unity

1980 ◽  
Vol 259 (2) ◽  
pp. 621 ◽  
Author(s):  
A. S. Cavaretta ◽  
A. Sharma ◽  
R. S. Varga
Keyword(s):  
Roots Of Unity ◽  
Birkhoff Interpolation

A Note on Golomb's “Cyclotomic Polynomials and Factorization Theorems”

1981 ◽  
Vol 88 (10) ◽  
pp. 753-753
Author(s):  
Katherine E. McLain ◽  
Hugh M. Edgar
Keyword(s):  
Cyclotomic Polynomials

THE CENTER OF THE COORDINATE ALGEBRAS OF QUANTUM GROUPS AT pα-th ROOTS OF UNITY

1993 ◽  
Vol 07 (20n21) ◽  
pp. 3547-3550
Author(s):  
BENJAMIN ENRIQUEZ
Keyword(s):  
Quantum Groups ◽  
Roots Of Unity

The coordinate algebras of quantum groups at pα-th roots of unity are finite modules over their centers, at least in a suitable completed sense (cf. [E]). We describe their centers in the completed case, and deduce from this the centers of the non-completed algebras. As in the [dCKP] situation, it is generated by its “Poisson” and “Frobenius” parts.

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