On Dirichlet $L$-functions and the index of visible points

Emre Alkan, Andrew Ledoan, Alexandru Zaharescu

Type: Article

Publication Date: 2007-04-01

Citations: 1

DOI: https://doi.org/10.1215/ijm/1258138424

Abstract

We investigate the value distribution of the index of visible points with congruence constraints by estimating all moments of the index twisted by an arbitrary Dirichlet character with respect to a fixed modulus.

Locations

Illinois Journal of Mathematics - View - PDF

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Works Cited by This (22)

Action	Title	Year	Authors
+ PDF Chat	On consecutive Farey arcs	1984	Robert E. Hall Gérald Tenenbaum
+	The Riemann Zeta-Function	1992	A. A. Karatsuba Сергей Воронин
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+	The average length of a trajectory in a certain billiard in a flat two-torus	2003	Florin P. Boca Radu N. Gologan Alexandru Zaharescu
+ PDF Chat	Exponential sums with multiplicative coefficients	1977	Hugh L. Montgomery R. C. Vaughan
+ PDF Chat	The index of a Farey sequence	2003	R. R. Hall Peter Shiu
+	The h-spacing distribution between Farey points	2001	Volker Augustin Florin P. Boca Cristian Cobeli Alexandru Zaharescu
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+	Introduction to Geometry	1969	H. S. M. Coxeter
+	On Kloosterman's sum	1961	T. Estermann