10.46298/hrj.2022.8925
https://hrj.episciences.org/8925
Anderson, Laura
Laura
Anderson
Chahal, Jasbir S
Jasbir S
Chahal
Top, Jaap
Jaap
Top
The last chapter of the Disquisitiones of Gauss
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.
episciences.org
Disquisitiones
ruler and compasses construction
cyclotomic polynomial
regular polygon
2010 Mathematics Subject Classification. 11-03; 12-03
[MATH]Mathematics [math]
2022-01-09
2022-01-09
2022-01-09
en
journal article
https://hal.archives-ouvertes.fr/hal-03498249v1
2804-7370
https://hrj.episciences.org/8925/pdf
VoR
application/pdf
Hardy-Ramanujan Journal
Volume 44 - Special Commemorative volume in honour of Srinivasa Ramanujan - 2021
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