Karikovas, E. (2015) “Self-approximation of periodic Hurwitz zeta-functions”, Nonlinear Analysis: Modelling and Control, 20(4), pp. 561–569. doi:10.15388/NA.2015.4.7.
Self-approximation of periodic Hurwitz zeta-functions
Abstract
Let ζ(s,ω;A) be the periodic Hurwitz zeta-function. We look for real numbers α and β for which there exist "many" real numbers τ such that the shifts ζ(s+iατ,ω;A) and ζ(s+iβτ,ω;A) are "near" each other.