•  
  •  
 

Turkish Journal of Mathematics

Authors

FARUK TEMUR

DOI

10.55730/1300-0098.3306

Abstract

Recently in joint work with E. Sert, we proved sharp boundedness results on discrete fractional integral operators along binary quadratic forms. Present work vastly enhances the scope of those results by extending boundedness to bivariate quadratic polynomials. We achieve this in part by establishing connections to problems on concentration of lattice points on short arcs of conics, whence we study discrete fractional integrals and lattice point concentration from a unified perspective via tools of sieving and diophantine approximation, and prove theorems that are of interest to researchers in both subjects.

First Page

2867

Last Page

2889

Included in

Mathematics Commons

Share

COinS