Number Theory seminar
Wentang Kuo, Department of Pure Mathematics, University of Waterloo
"On Erd}os-Pomerance conjecture"
Let k be a global function eld whose eld of constants is the nite eld Fq. Let 1 be a xed place of degree one, and A is the ring of elements of k which have only 1 as a pole. Let be a sgn-normalized rank one Drinfeld A-module dened over O, the integral closure of A in the Hilbert class eld of A. We prove an analogue of a conjecture of Erd}os and Pomerance for '.