@inproceedings{1c25347777cf474098d98b1d02fa24d2,

title = "Distribution of points on modular hyperbolas",

abstract = "We give a survey of several recent results and pose several open problems about the distribution and some geometric properties of points (x, y) on modular hyperbolas xy equivalent to a (mod m). We also outline a very diverse range of applications of such results and discuss multivariate generalisations.",

keywords = "INVERSES MOD-Q, F-P-POINTS, D-H-LEHMER, KLOOSTERMAN SUMS, CHARACTER SUMS, RATIONAL FUNCTIONS, QUADRATIC RESIDUE, EXPONENTIAL-SUMS, DIVISOR PROBLEM, SHORT INTERVALS",

author = "Shparlinski, {Igor E.}",

year = "2007",

doi = "10.1142/9789812770134_0007",

language = "English",

isbn = "9789812708106",

volume = "2",

series = "Series on Number Theory and Its Applications",

publisher = "World Scientific Publishing",

pages = "155--189",

editor = "S. Kanemitsu and J.-Y. Liu",

booktitle = "Proceedings of the 4th China-Japan Seminar on Number Theory",

address = "Singapore",

note = "4th China-Japan Seminar on Number Theory ; Conference date: 30-08-2006 Through 03-09-2006",

}