Glasnik matematički, Vol. 33 No. 1, 1998.
Original scientific paper
Convexity and the Riemann ζ-function
George Csordas
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.
Keywords
Riemann hypothesis; convexity; moments
Hrčak ID:
8170
URI
Publication date:
1.6.1998.
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