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Events

Seminar Details

The Freshman's Dream Identity

  • Start Date: June 13, 2016
  • Event Start Time: 2:00 PM
  • Event End Time: 3:00 PM
  • Organizers: Lazaros Gallos
  • Seminar Series: REU Seminar
  • Presenter(s): Doron Zeilberger - Rutgers University
  • Event Location: DIMACS Seminar room
  • Abstract: Some freshmen actually believe that (a+b)^p=a^p+b^p, but most of them know that it is false, but wished that it were true. Nevertheless, if you take it modulo p, where p is a prime, it is true! This elementary, almost trivial, fact, has some surprising and beautiful consequences, for example for counting cellular automata (joint with Neil Sloane), deep congruence identities (joint with William Chen and Qing-Hu Hou), and the latter has been beautifully extended by my former PhD student , Moa Apagodu.