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 |
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Pages (from-to) | 235-294 |
Number of pages | 60 |
Journal | Japanese Journal of Mathematics |
Volume | 7 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2012 |