Tata Institute of Fundamental Research
A visual proof of Fermat's two square theorem
STCS Student Seminar
Speaker:
Malhar Ajit Managoli
Organiser:
Agniv Bandyopadhyay
Date:
Friday, 10 Feb 2023, 16:00 to 17:00
Venue:
A201
(Scan to add to calendar)
Abstract:
Fermat's two square theorem states that:
An odd prime p can be written as a sum of two squares if and only if p = 1 (mod 4)
Furthermore, such a solution is unique. Many proofs have been given of this fact, but most of them are very tricky.
A relatively simple proof of the existence part appeared in a survey of proofs of Fermat's theorem by Alexander Spivak, where the key point is presented in a visual manner, which I will present. The proof of uniqueness is much simpler, and I will present it, time permitting.
| Speaker: | Malhar Ajit Managoli |
| Organiser: | Agniv Bandyopadhyay |
| Date: | Friday, 10 Feb 2023, 16:00 to 17:00 |
| Venue: | A201 |
(Scan to add to calendar)
Abstract:
Fermat's two square theorem states that:
An odd prime p can be written as a sum of two squares if and only if p = 1 (mod 4)
Furthermore, such a solution is unique. Many proofs have been given of this fact, but most of them are very tricky.
A relatively simple proof of the existence part appeared in a survey of proofs of Fermat's theorem by Alexander Spivak, where the key point is presented in a visual manner, which I will present. The proof of uniqueness is much simpler, and I will present it, time permitting.
An odd prime p can be written as a sum of two squares if and only if p = 1 (mod 4)
Furthermore, such a solution is unique. Many proofs have been given of this fact, but most of them are very tricky.
A relatively simple proof of the existence part appeared in a survey of proofs of Fermat's theorem by Alexander Spivak, where the key point is presented in a visual manner, which I will present. The proof of uniqueness is much simpler, and I will present it, time permitting.