On the convex hull of the points on multivariate modular hyperbolas

DOI10.1016/j.jnt.2016.07.011zbMath1419.11095OpenAlexW2507311210MaRDI QIDQ331101

Igor E. Shparlinski

Publication date: 26 October 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.07.011

zbMATH Keywords

convex hullmodular hyperbola

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Congruences in many variables (11D79)

Cites Work

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• On convex hull of points on modular hyperbolas
• Congruences with intervals and subgroups modulo a prime
• Modular hyperbolas
• The congruence \(x_1 x_2 \equiv x_3 x_4\) and mean values of character sums
• On the distribution of points on multidimensional modular hyperbolas.
• Geometric properties of points on modular hyperbolas
• On the Convex Closure of the Graph of Modular Inversions
• On the maximal difference between an element and its inverse in residue rings
• The divisor problem for arithmetic progressions