The Siegel norm,the length function and character values of finite groups |
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Authors: | Amita Malik Florin Stan Alexandru Zaharescu |
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Institution: | 1. Department of Mathematics, University of Illinois at Urbana–Champaign, Altgeld Hall, 1409 W. Green Street, Urbana, IL, 61801, USA;2. Simion Stoilow Institute of Mathematics of the Romanian Academy, Research unit 5, P. O. Box 1-764, RO-014700 Bucharest, Romania |
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Abstract: | 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. |
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Keywords: | Sums of roots of unity Characters of finite groups |
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