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The last chapter of the Disquisitiones of Gauss

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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https://hal.archives-ouvertes.fr/hal-03498249
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Submitted on : Wednesday, January 5, 2022 - 12:41:40 PM
Last modification on : Monday, March 28, 2022 - 8:14:08 AM
Long-term archiving on: : Wednesday, April 6, 2022 - 6:16:33 PM

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Laura Anderson, Jasbir S Chahal, Jaap Top. The last chapter of the Disquisitiones of Gauss. Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 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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