Asymptotic formulas for a class of sums over consecutive Farey fractions

  • Alexandru Zaharescu University of Illinois at Urbana-Champaign
DOI: https://doi.org/10.12697/ACUTM.2005.09.01
Keywords: Farey fractions, Kloosterman sums, binary quadratic forms

Abstract

We provide asymptotic formulas, as Q → ∞, for a class of sums over consequtive Farey fractions of order Q, which are defined in terms of a given quadratic form. 

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Author Biography

Alexandru Zaharescu, University of Illinois at Urbana-Champaign

Department of Mathematics

Published
2005-12-31
Issue
Vol. 9 (2005)
Section
Articles