Modular hyperbolas

Igor E. Shparlinski

doi:10.1007/s11537-012-1140-8

Modular hyperbolas

Igor E. Shparlinski

School of Computing

Research output: Contribution to journal › Article › peer-review

28 Citations (Scopus)

Abstract

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 ≡ 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.

Original language	English
Pages (from-to)	235-294
Number of pages	60
Journal	Japanese Journal of Mathematics
Volume	7
Issue number	2
DOIs	https://doi.org/10.1007/s11537-012-1140-8
Publication status	Published - 2012

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Modular hyperbolas

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