## Illinois Journal of Mathematics

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

#### 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.

#### Article information

Source
Illinois J. Math. Volume 51, Number 2 (2007), 455-477.

Dates
First available: 13 November 2009

Alkan, Emre; Ledoan, Andrew H.; Zaharescu, Alexandru. On Dirichlet $L$-functions and the index of visible points. Illinois Journal of Mathematics 51 (2007), no. 2, 455--477. http://projecteuclid.org/euclid.ijm/1258138424.