Root of unity

Known as: Prinicple root of uniity, Cube roots of unity, De Moivre Number 
In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that gives 1 when raised to some positive integer… (More)
Wikipedia

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2014
2014
In this paper, perfect root-of-unity sequences (PRUS) with entries in αp = {x ∈ \BBC | xp = 1} (where p is a prime) are studied… (More)
  • table I
  • figure 1
  • figure 2
  • figure 3
  • figure 4
Is this relevant?
Highly Cited
2006
Highly Cited
2006
  • M. VARAGNOLO
  • 2006
We study double affine Hecke algebras at roots of unity and their relations with deformed Hilbert schemes. In particular their… (More)
Is this relevant?
Highly Cited
2005
Highly Cited
2005
The idea to derive topological invariants of smooth manifolds from partitions functions of certain action functionals was… (More)
  • figure 1
  • figure 3
  • figure 2
Is this relevant?
Highly Cited
2003
Highly Cited
2003
We develop the basic representation theory of all quantum groups at all roots of unity, including Harish-Chandra’s Theorem, which… (More)
  • table 1
Is this relevant?
Highly Cited
2002
Highly Cited
2002
Interpretation of U-series disequilibria in midocean ridge basalts is highly dependent on the bulk partition coefficients for U… (More)
  • table 1
  • figure 1
  • table 2
  • figure 2
  • figure 4
Is this relevant?
2001
2001
We declare briefly several interesting features of the quantum relativistic Toda chain at N-th root of unity. We consider the… (More)
Is this relevant?
Highly Cited
1998
Highly Cited
1998
In roots two distinct polar movements of auxin have been reported that may control different developmental and growth events. To… (More)
  • table I
  • figure 1
  • table II
  • table III
  • table IV
Is this relevant?
Highly Cited
1995
Highly Cited
1995
Consider the m-th roots of unity in C, where m > 0 is an integer. We address the following question: For what values of n can one… (More)
Is this relevant?
Highly Cited
1993
Highly Cited
1993
Permission is hereby granted by the authors to reproduce this document, in whole or in part, for personal use, for instruction… (More)
Is this relevant?
1992
1992
A general topological formula is given for the 517(2) quantum invariant of a 3-manifold M at the sixth root of unity. It is… (More)
Is this relevant?