Daodao Yang (Graz): Integers representable as differences of linear recurrence sequences and a variant of Pillai's problem with transcendental numbers

Austrian-Hungarian Diophantine Number Theory seminar
 
Abstract:
Let {Un}n ≥ 0 and {Vn}n ≥ 0 be two linear recurrence sequences satisfying dominant roots conditions. I will report on asymptotic formulas for the number of integers c in the range [-x,x] which can be represented as differences Un-Vm. On the other hand, I will talk about asymptotic formulas for the number of solutions (m,n)∈ ℕ2 to the inequality |αn-βm|<x. Here, α or β could be transcendental. This is a joint work with Robert Tichy, Ingrid Vukusic and Volker Ziegler.

link:
https://uni-salzburg.webex.com/uni-salzburg/j.php?MTID=mc7ed425040b8cbe4e51859ba4d7ce12f