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On the coefficients of the minimal polynomials of Gaussian periods

On the coefficients of the minimal polynomials of Gaussian periods

Let <italic>l</italic> be a prime number and <italic>m</italic> a divisor of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="l minus 1"> <mml:semantics> <mml:mrow> <mml:mi>l</mml:mi> <mml:mo>−<!-- − --></mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">l - 1</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. Then the Gauss period <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="omega equals zeta plus zeta Superscript lamda Baseline plus …