2 papers
math.NT2026
Ties in Function Field Prime Races
Graeme Bates, Ryan Jesubalan, Seewoo Lee +2
The function field analogue of Chebyshev's bias was first studied by Cha. In this paper, we study *ties* in this race, namely collections of distinct congruence classes $c_1, \dots…
math.NT2026
Powerful Fibonacci polynomials over finite fields
Graeme Bates, Ryan Jesubalan, Seewoo Lee +2
Bugeaud, Mignotte, and Siksek proved that the only perfect powers in Fibonacci sequence are 0, 1, 8, and 144. In this paper, we study the polynomial analogue of the problem. Especi…