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 2002Show all

3 papers · 1 filter

math-ph2002

Norm estimates of almost Mathieu operators

Florin P. Boca, Alexandru Zaharescu

We estimate the norm of the almost Mathieu operator $H_{θ, λ} = U + U^{*} + (λ /2) (V + V^{*})$ in the rotation $C^{*}$ -algebra $A_{θ} = C^{*} (U, V u ni t a r i es; U V = e^{2 π i θ} V U)$ . In this process, we signifi…

math.NT2002

On the distribution of the Farey sequence with odd denominators

F. P. Boca, C. Cobeli, A. Zaharescu

We prove some asymptotic results on the distribution of h-tuples of consecutive Farey fractions of order Q with odd denominators as $Q \to \infty$ .

math.NT2002

On the index of Farey sequences

F. P. Boca, R. N. Gologan, A. Zaharescu

We prove some asymptotic formulae concerning the distribution of the index of Farey fractions of order Q as $Q \to \infty$ .