Seminar Details
The Hermite-Serret Algorithm
- Start Date: March 12, 2020
- Event Start Time: 5:00 PM
- Event End Time: 6:00 PM
- Seminar Series: Experimental Math Seminar
- Presenter(s): Douglas Iannucci - University of Virgin Islands
- Event Location: Conference Room 705 | Rutgers University | Hill Center | 110 Frelinghuysen Rd
- Presentation Type: Stand Alone Presentation
- Abstract:
Hermite and Serret in 1848 independently devised an algorithm by which to find the two squares which add up to a given prime p of the form 4x+1. It works as well if p is composite. We generalize this algorithm to find representations of a natural number n as a binary quadratic form u2 + kuv + v2 for integers k ≥ 0 .