Open AccessAsymptotic formulas for a class of sums over consecutive Farey fractions
Author(s) -
Alexandru Zaharescu
Publication year - 2005
Publication title -
acta et commentationes universitatis tartuensis de mathematica./acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2005.09.01
Subject(s) - farey sequence , mathematics , class (philosophy) , quadratic equation , combinatorics , asymptotic formula , class number , order (exchange) , pure mathematics , geometry , computer science , artificial intelligence , finance , economics
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.