On the distribution of solutions to polynomial congruences

DOI10.1007/s00013-012-0436-5zbMath1334.11018OpenAlexW2081858067MaRDI QIDQ1930878

Igor E. Shparlinski

Publication date: 14 January 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0436-5

zbMATH Keywords

polynomialsdistribution of pointsmultivariate congruenceswell-shaped domains

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Congruences in many variables (11D79) Irregularities of distribution, discrepancy (11K38)

Related Items (3)

Linear congruences with ratios ⋮ On the distribution of values and zeros of polynomial systems over arbitrary sets ⋮ SOLUTIONS TO POLYNOMIAL CONGRUENCES IN WELL-SHAPED SETS

Cites Work

• Unnamed Item
• On the distribution of rational functions along a curve over \(\mathbb F_p\) and residue races
• On the convex hull of solutions to polynomial congruences
• On a generalisation of a Lehmer problem
• Exponential sums, the geometry of hyperplane sections, and some diophantine problems
• The congruence \(x_ 1x_ 2\equiv x_ 3x_ 4\pmod p\), the equation \(x_ 1x_ 2=x_ 3x_ 4\), and mean values of character sums
• On the concentration of points of polynomial maps and applications
• On the distribution of points on multidimensional modular hyperbolas.
• A general stratification theorem for exponential sums, and applications
• CONCENTRATION OF POINTS ON MODULAR QUADRATIC FORMS
• Irregularities for distribution IX
• Exponential sums and rational points on complete intersections
• Number of Points of Varieties in Finite Fields
• Consequences of a result of N. Katz and G. Laumon concerning trigonometric sums

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