A. Zaharescu

activity

19992025

most citedThe distribution of spacings between the fractional parts of

n^{2} α

108 citations · 307 across the 89 of their papers we have counts for

collaborators

Showing 2004Show all

3 papers · 1 filter

math.NT2004

On the distribution of imaginary parts of zeros of the Riemann zeta function

Kevin Ford, Alexandru Zaharescu

We investigate the distribution of the fractional parts of ag, where a is a fixed non-zero real number and g runs over the imaginary parts of the non-trivial zeros of the Riemann z…

math.NT2004

On the correlations of directions in the Euclidean plane

Florin P. Boca, Alexandru Zaharescu

We study the correlations of directions $P_{0} P$ in the Euclidean plane, where $P_{0}$ is a point in a fixed disc, $P$ is an integer lattice point in the square $[- Q, Q]^{2}$ , and $Q\to…

math.NT2004★ 1 cited

The correlations of Farey fractions

Florin P. Boca, Alexandru Zaharescu

We prove that all correlations of the sequence of Farey fractions exist and provide formulas for the correlation measures.