TY - JOUR
T1 - The Siegel norm, the length function and character values of finite groups
AU - Malik, Amita
AU - Stan, Florin
AU - Zaharescu, Alexandru
PY - 2014/4/18
Y1 - 2014/4/18
N2 - In this paper we present some new results on the connection between the Siegel norm, the length function and irreducible character values of finite groups. In addition, we provide algorithms to compute the length of a cyclotomic integer and the set of cyclotomic integers with Siegel norm bounded by a given positive real number.
AB - In this paper we present some new results on the connection between the Siegel norm, the length function and irreducible character values of finite groups. In addition, we provide algorithms to compute the length of a cyclotomic integer and the set of cyclotomic integers with Siegel norm bounded by a given positive real number.
KW - Characters of finite groups
KW - Sums of roots of unity
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U2 - 10.1016/j.indag.2013.12.001
DO - 10.1016/j.indag.2013.12.001
M3 - Article
AN - SCOPUS:84897497969
SN - 0019-3577
VL - 25
SP - 475
EP - 486
JO - Indagationes Mathematicae
JF - Indagationes Mathematicae
IS - 3
ER -