{"docId":8925,"paperId":8925,"url":"https:\/\/hrj.episciences.org\/8925","doi":"10.46298\/hrj.2022.8925","journalName":"Hardy-Ramanujan Journal","issn":"","eissn":"2804-7370","volume":[{"vid":607,"name":"Volume 44 - Special Commemorative volume in honour of Srinivasa Ramanujan - 2021"}],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-03498249","repositoryVersion":1,"repositoryLink":"https:\/\/hal.archives-ouvertes.fr\/hal-03498249v1","dateSubmitted":"2022-01-06 20:43:50","dateAccepted":"2022-01-09 20:19:07","datePublished":"2022-01-09 20:19:30","titles":{"en":"The last chapter of the Disquisitiones of Gauss"},"authors":["Anderson, Laura","Chahal, Jasbir S","Top, Jaap"],"abstracts":{"en":"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."},"keywords":[{"en":"Disquisitiones"},{"en":"ruler and compasses construction"},{"en":"cyclotomic polynomial"},{"en":"regular polygon"},"2010 Mathematics Subject Classification. 11-03; 12-03","[MATH]Mathematics [math]"]}