The distribution of rational points on varieties defined over a finite field

DOI10.1112/S0025579300010202zbMath0469.10002MaRDI QIDQ3922737

Gerald Myerson

Publication date: 1981

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

congruencessmall solutionsDeligne's estimate

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Estimates on character sums (11L40)

Related Items (10)

Rational trigonometric sums on algebraic varieties ⋮ Counting points in a small box on varieties ⋮ On the distribution of the number of points on a family of curves over finite fields ⋮ The Distribution of Solutions to Equations Over Finite Fields ⋮ Lower bounds on solutions of quadratic polynomials defined over finite rings ⋮ Poisson type phenomena for points on hyperelliptic curves modulo \(p\) ⋮ Optimal quota allocation for a revenue-maximizing auction holder facing a random number of bidders ⋮ Exponential sums, the geometry of hyperplane sections, and some diophantine problems ⋮ On the spaces generated by vectors with coordinates in incomplete residue systems ⋮ Estimates for lattice points of quadratic forms with integral coefficients modulo a prime number square

Cites Work

• On the number of solutions in incomplete residue sets of quadratic congruences
• Equations over finite fields. An elementary approach
• On exponential sums in finite fields. II
• La conjecture de Weil. I
• A COMBINATORIAL PROBLEM IN FINITE FIELDS, II
• On Exponential Sums in Finite Fields
• The Number of Solutions of Congruences in Incomplete Residue Systems
• Number of Points of Varieties in Finite Fields

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