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Lethbridge Number Theory and Combinatorics Seminar
Lecturer(s): Khoa Dang Nguyen (University of Calgary).
Day/Date: Monday, October 21 2019.
Time: 12 to 12:50 p.m.
Location: University of Lethbridge, C630.
Topic: An analogue of Ruzsa's conjecture for polynomials over finite fields.
In 1971, Ruzsa conjectured that if f is an integer-valued function on the set of natural numbers, such that f(n+k) is congruent to f(n) modulo k, for all natural numbers n and k, and f(n) = O(a^n) with a < e, then f is a polynomial. In this paper, we investigate the analogous problem for the ring of polynomials over a finite field. This is joint work with Jason Bell.