ULethbridge Number Theory and Combinatorics Seminar: Dang-Khoa Nguyen

  • Date: 09/26/2022
  • Time: 11:00
Lecturer(s):
Dang-Khoa Nguyen, UCagary
Location: 

University of Lethbridge

Topic: 

Height gaps for coefficients of D-finite power series

Description: 

A power series f(x1,…,xm)∈C[[x1,…,xm]] is said to be D-finite if all the partial derivatives of f span a finite dimensional vector space over the field C(x1,…,xm). For the univariate series f(x)=∑anxn, this is equivalent to the condition that the sequence (an) is P-recursive meaning a non-trivial linear recurrence relation of the form:

 

Pd(n)an+d+⋯+P0(n)an=0

 

where the Pi's are polynomials. In this talk, we consider D-finite power series with algebraic coefficients and discuss the growth of the Weil height of these coefficients.
This is from a joint work with Jason Bell and Umberto Zannier in 2019 and a more recent work in June 2022.

Other Information: 

Location: Room M1040 (Markin Hall) and Zoom:https://uleth.zoom.us/meeting/register/tJcpc--qrjwsGtE7inVJcDzcjleYhbzaso14

 

Time:11:00am Pacific/ 12:00pm Mountain 

 

Live access links are posted here and on https://researchseminars.org/seminar/NTC. For more information, contact Félix Baril Boudreau or Bobby Miraftab.