Impossibility of a Certain Cyclotomic Equation with Applications to Difference Sets

K. T. Arasu and Alexander Pott
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K. T. Arasu: Wright State University, Department of Mathematics and Statistics
Alexander Pott: Institut für Mathematik der Universität Augsburg

A chapter in Designs and Finite Geometries, 1996, pp 23-27 from Springer

Abstract: Abstract Under certain conditions, we show the nonexistence of an element γ in the p-th cyclotomic field over ℚ, that satisfies γ γ̄ = n. As applications, we establish the nonexistence of some difference sets and affine difference sets.

Keywords: cyclotomic field; difference set (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-1395-3_2

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DOI: 10.1007/978-1-4613-1395-3_2

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