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» Calculating cyclotomic polynomials
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MOC
1998
92views more  MOC 1998»
14 years 11 months ago
Perturbing polynomials with all their roots on the unit circle
Given a monic real polynomial with all its roots on the unit circle, we ask to what extent one can perturb its middle coefficient and still have a polynomial with all its roots on ...
Michael J. Mossinghoff, Christopher G. Pinner, Jef...
JSC
2010
155views more  JSC 2010»
14 years 10 months ago
Algorithms for solving linear systems over cyclotomic fields
We consider the problem of solving a linear system Ax = b over a cyclotomic field. What makes cyclotomic fields of special interest is that we can easily find a prime p that sp...
Liang Chen, Michael B. Monagan
EUROCAL
1987
115views Mathematics» more  EUROCAL 1987»
15 years 3 months ago
Number-theoretic transforms of prescribed length
Abstract. A new constructive method for finding all convenient moduli m for a number-theoretic transform with given length N and given primitive Nth root of unity modulo m is prese...
Reiner Creutzburg, Manfred Tasche
ANTS
2004
Springer
111views Algorithms» more  ANTS 2004»
15 years 5 months ago
A Method to Solve Cyclotomic Norm Equations
We present a technique to recover f ∈ Q(ζp) where ζp is a primitive pth root of unity for a prime p, given its norm g = f ∗ ¯f in the totally real field Q(ζp + ζ−1 p )....
Nick Howgrave-Graham, Michael Szydlo