4 papers
math.CV2026
On the Phragmen Lindelöf Theorem in strips
Kevin Smith
In this paper we study an analogue of Bohr's abscissae of summability for Dirichlet series. For polynomially bounded analytic functions in a strip with order function ,…
math.DG2026
Coupled continuity equations for constant scalar curvature Kähler metrics
Xi Sisi Shen, Kevin Smith
Inspired by a parabolic system of Li-Yuan-Zhang and the continuity equation of La Nave-Tian, we study a system of elliptic equations for a Kähler metric and a closed …
math.NT2025
Continuation of Dirichlet series I
Kevin Smith
We study Dirichlet series arising as linear functionals on an inner product space of meromorphic functions and establish a relation between the discontinuities of the former on the…
math.NT2025
An application of functional analysis to the Riemann zeta function
Kevin Smith
Lindelöf conjectured that the Riemann zeta function grows more slowly than any fixed positive power of as when . Hardy and Littlew…