A. Ivic

activity

20032007

most citedLattice points in large regions and related arithmetic functions: Recent developments in a very classic topic

68 citations · 137 across the 18 of their papers we have counts for

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Showing 2005 · math.NTShow all

3 papers · 2 filters

math.NT2005

On sums of integrals of powers of the zeta-function in short intervals

Aleksandar Ivić

The modified Mellin transform $Z_{k} (s) = \int_{1}^{\infty} ∣ ζ (\frac{1}{2} + i x ∣^{2 k} x^{- s} d x$ ( $k \geq 1$ is a fixed integer, $s = σ + i t$ ) is used to obtain estimates for $$ \sum…

math.NT2005★ 3 cited

On the integral of the error term in the Dirichlet divisor problem

Aleksandar Ivic

Several results are obtained concerning the function $Δ_{k} (x)$ , which represents the error term in the general Dirichlet divisor problem. These include the estimates for the integra…

math.NT2005★ 7 cited

On the multiplicity of zeros of the zeta-function

Aleksandar Ivić

Several results are obtained concerning multiplicities of zeros of the Riemann zeta-function $ζ (s)$ . They include upper bounds for multiplicities, showing that zeros with large mul…