2 papers
math-ph2018
Rigorous asymptotics of a KdV soliton gas
Manuela Girotti, Tamara Grava, Robert Jenkins +1
We analytically study the long time and large space asymptotics of a new broad class of solutions of the KdV equation introduced by Dyachenko, Zakharov, and Zakharov. These solutio…
math.CA2016
Dynamic behavior of the roots of the Taylor polynomials of the Riemann xi function with growing degree
Robert Jenkins, Ken D. T. -R. McLaughlin
We establish a uniform approximation result for the Taylor polynomials of the xi function of Riemann which is valid in the entire complex plane as the degree grows. In particular,…