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Journal Articles Hardy-Ramanujan Journal Year : 2022

The last chapter of the Disquisitiones of Gauss

Laura Anderson
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Abstract

This exposition reviews what exactly Gauss asserted and what did he prove in the last chapter of {\sl Disquisitiones Arithmeticae} about dividing the circle into a given number of equal parts. In other words, what did Gauss claim and actually prove concerning the roots of unity and the construction of a regular polygon with a given number of sides. Some history of Gauss's solution is briefly recalled, and in particular many relevant classical references are provided which we believe deserve to be better known.
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Dates and versions

hal-03498249 , version 1 (05-01-2022)

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Laura Anderson, Jasbir S Chahal, Jaap Top. The last chapter of the Disquisitiones of Gauss. Hardy-Ramanujan Journal, 2022, Special Commemorative volume in honour of Srinivasa Ramanujan - 2021, Volume 44 - Special Commemorative volume in honour of Srinivasa Ramanujan - 2021, pp.152 -- 159. ⟨10.46298/hrj.2022.8925⟩. ⟨hal-03498249⟩
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