Croatian Mathematical Society and Department of Mathematics, University of Zagreb
Abstract
The convexity properties of the kernel Φ(t) whose Fourier transform is the Riemann ζ-function are investigated. In particular, it is shown that Φ(√t) is convex for t > 0. Also, lower bounds for the Turan differences involving the moments of Φ(t) are established. The paper concludes with several questions and open problems
