1 citations · 2 across the 8 of their papers we have counts for
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On the Intervals of a Third between Farey Fractions
Cristian Cobeli, Alexandru Zaharescu
The spacing distribution between Farey points has drawn attention in recent years. It was found that the gaps between consecutive elements of the Farey sequence produ…
A density theorem on even Farey fractions
Cristian Cobeli, Alexandru Zaharescu
Let be the Farey sequence of order and let and be the set of those Farey fractions of order with odd, respectively even denominators. A fundamenta…
On the Farey fractions with denominators in arithmetic progression
Cristian Cobeli, Alexandru Zaharescu
Let be the set of Farey fractions of order . Given the integers $\d\ge 2$ and $0\le \c \le \d-1$, let be the subset of of those fractions whose denominato…
The distribution of rationals in residue classes
Cristian Cobeli, Alexandru Zaharescu
Our purpose is to give an account of the -tuple problem on the increasing sequence of reduced fractions having denominators bounded by a certain size and belonging to a fixed re…
Determinations of Analogues of Gauss Sums and Other Trigonometric Sums
Matthias Beck, Bruce C. Berndt, O-Yeat Chan +1
Explicit determinations of several classes of trigonometric sums are given. These sums can be viewed as analogues or generalizations of Gauss sums. In a previous paper, two of the…