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Cyclotomy and delta units

Cyclotomy and delta units

In this paper we examine cyclic cubic, quartic, and quintic number fields of prime conductor <italic>p</italic> containing units that bear a special relationship to the classical Gaussian periods: <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="eta Subscript j Baseline minus eta Subscript j plus 1 plus c"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>η<!-- …