Notes on universality in short intervals and exponential shifts
Johan Andersson, Ramūnas Garunkštis, Roma Kačinskaitė, Keita Nakai, Łukasz Pańkowski, Athanasios Sourmelidis, Rasa Steuding, Jörn Steuding, Saeree Wananiyakul
Abstract
Abstract We improve a recent universality theorem for the Riemann zeta-function in short intervals due to Antanas Laurinčikas with respect to the length of these intervals. Moreover, we prove that the shifts can even have exponential growth. This research was initiated by two questions proposed by Laurinčikas in a problem session of a recent workshop on universality.
Topics & Concepts
Universality (dynamical systems)MathematicsExponential functionExponential growthNumber theoryOrdinary differential equationStatistical physicsCombinatoricsMathematical analysisDifferential equationPhysicsQuantum mechanicsAnalytic Number Theory ResearchMathematics and ApplicationsFinite Group Theory Research