Modular hyperbolas

By Igor E. Shparlinski. 2011

65 citations recorded by the source corpus.

We give a survey of a variety of recent results about the distribution and some geometric properties of points (x, y) on modular hyperbolas $${xy \equiv a\;(\mod m)}$$. We also outline a very diverse range of applications of such results, discuss multivariate generalisations and suggest a number of open problems of different levels of difficulty.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/df006e6aa139a2de27d6159261457cfb57ef13a2