Impossibility of a Certain Cyclotomic Equation With Applications to Difference Sets

Document Type

Article

Publication Date

1996

Abstract

Under certain conditions, we show the nonexistence of an elementγ in thep-th cyclotomic field over ℚ, that satisfiesγγ = n. As applications, we establish the nonexistence of some difference sets and affine difference sets.

DOI

10.1007/BF00130566

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