University of Belgrade

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20022009

most citedA Gravity Theory on Noncommutative Spaces

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math.NT2009

On the integral of Hardy's function

Aleksandar Ivić

If $Z (t) = χ^{- 1/2} (1/2 + i t) ζ (1/2 + i t)$ denotes Hardy's function, where $ζ (s) = χ (s) ζ (1 - s)$ is the functional equation of the Riemann zeta-function, then it is proved that $$ \int_0^…

math.NT2004

Some considerations in connection with Kurepa's function

Branko J. Malesevic

In this paper we consider the functional equation for factorial sum and its particular solutions (Kurepa's function $K (z)$ \cite{Kurepa_71} and function $K_{1} (z)$ ). We determine a…

math.NT2003

On some conjectures and results for the Riemann zeta-function and Hecke series

Aleksandar Ivic

Some results and conjectures on $Z_{2} (s) = \int_{1}^{\infty} ∣ ζ (1/2 + i x) ∣^{4} x^{- s} d x (ℜ s > 1)$ are presented. Consequences of these conjectures regarding the eighth moment of $|ζ(1/2+i…