The generalised sum of remainders map over a finite non-empty set of positive integers is a map which computes the sum of the remainders upon dividing its argument by every number in the set. The dynamics of this map, i.e., the behaviour of the sequence of numbers generated by iterating the map, is being studied. This talk will present some of the recent results, which are hopefully understandable even to audiences with minimal prior knowledge of dynamical systems and number theory. This is a joint work with Ryan Kasyfil Aziz.
The Generalised Sum of Remainders Map
Tue, 07/03/2017 - 12:00