K-Moments of distances between centers of Ford circles

Sneha Chaubey, Amita Malik, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we investigate a problem on the distribution of Ford circles, which concerns moments of distances between centers of these circles that lie above a given horizontal line.

Original languageEnglish (US)
Pages (from-to)906-919
Number of pages14
JournalJournal of Mathematical Analysis and Applications
Volume422
Issue number2
DOIs
StatePublished - Feb 15 2015

Keywords

  • Farey fractions
  • Ford circles
  • Kloosterman sums
  • Riemann zeta function

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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