The Distribution of Solutions to Equations Over Finite Fields

DOI10.2307/2000040zbMath0591.12024OpenAlexW4253145862MaRDI QIDQ3718807

Todd Cochrane

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000040

zbMATH Keywords

finite fieldpolynomialsequationsfinite Fourier series

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Exponential sums (11T23) Diophantine equations in many variables (11D72) Trigonometric and exponential sums (general theory) (11L03) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (3)

Lower bounds on solutions of quadratic polynomials defined over finite rings ⋮ On the spaces generated by vectors with coordinates in incomplete residue systems ⋮ Trigonometric Approximation and Uniform Distribution Modulo One

Cites Work

• Unnamed Item
• Unnamed Item
• On the number of solutions in incomplete residue sets of quadratic congruences
• La conjecture de Weil. I
• An Introduction to the Geometry of Numbers
• On the Number and Distribution of Simultaneous Solutions to Diagonal Congruences
• The distribution of rational points on varieties defined over a finite field
• Incomplete exponential sums and incomplete residue systems for congruences
• The distribution of solutions of congruences
• The distribution of rational points on hypersurfaces defined over a finite field
• The Number of Solutions of Congruences in Incomplete Residue Systems
• Weighted Quadratic Partitions Over a Finite Field
• Small solutions of congruences

This page was built for publication: The Distribution of Solutions to Equations Over Finite Fields