Glasnik matematički, Vol. 33 No. 1, 1998.
Izvorni znanstveni članak
Convexity and the Riemann ζ-function
George Csordas
Sažetak
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.
Ključne riječi
Riemann hypothesis; convexity; moments
Hrčak ID:
8170
URI
Datum izdavanja:
1.6.1998.
Posjeta: 1.018 *