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Original scientific paper

Convexity and the Riemann ζ-function

George Csordas


Full text: english pdf 858 Kb

page 37-50

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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

https://hrcak.srce.hr/8170

Publication date:

1.6.1998.

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