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20032016
most citedLattice points in large regions and related arithmetic functions: Recent developments in a very classic topic

68 citations · 151 across the 32 of their papers we have counts for

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Showing 2003Show all

12 papers · 1 filter

math.NT2003★ 5 cited

On certain sums over ordinates of zeta zeros

Aleksandar Ivić

Let denote imaginary parts of complex zeros of the Riemann zeta-function . Certain sums over the 's are evaluated, by using the function and…

math.NT2003

The fourth moment of the zeta-function

Aleksandar Ivić

An overview of results and problems concerning the asymptotic formula for is given, together with a discussion of modern methods from spectral theory used…

math.NT2003★ 7 cited

On small values of the Riemann zeta-function on the critical line and gaps between zeros

Aleksandar Ivić

Small values of are investigated, using the value distribution results of A. Selberg. This gives an asymptotic formula for . S…

math.NT2003★ 8 cited

The Laplace transform of the fourth moment of the zeta-function

Aleksandar Ivić

The Laplace transform of is investigated, for which a precise expression is obtained, valid in a certain region in the complex plane. The method of proof is based on…

math.NT2003★ 1 cited

On sums of squares of the Riemann zeta-function on the critical line

Aleksandar Ivić

A discussion involving the evaluation of the sum is presented, where denotes imaginary parts of complex zeros of the Riemann zeta-function $ζ(s)…

math.NT2003

Sums of squares of over short intervals

Aleksandar Ivić

Sums of squares of over short intervals are investigated. Known upper bounds for the fourth and twelfth moment of are derived. A discussion concerning o…