This event is from the archives of The Notice Board. The event has already taken place and the information contained in this post may no longer be relevant or accurate.
Lethbridge Number Theory and Combinatorics Seminar
Date: March 21, 2016
Time: 12:00-12:50pm
Lecturer(s): Arnab Bose, Graduate Student, University of Lethbridge
Location: University of Lethbridge
Topic: Investigations on some Exponential Congruences
Description (in plain text format):
Around 1981, Selfridge asked for what positive integers a and b does 2^a - 2^b divide n^a - n^b for every natural number n. The problem was independently solved by various people in different contexts. In this talk, we study their ideas and prove a generalization of the problem, in the elementary number theoretic sense and also in algebraic number fields. Further, we develop ideas to give a conditional resolution and generalizations to another problem by H.Ruderman which is closely related to Selfridge's problem.
Other Information:
Location: C630 University Hall
Contact:
Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470 | uleth.ca/artsci/math-computer-science
