Counting points in a small box on varieties

DOI10.3792/pjaa.64.267zbMath0669.10045OpenAlexW1975376693MaRDI QIDQ1118638

Masahiko Fujiwara

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.64.267

zbMATH Keywords

finite fieldsvarietiessystem of congruencessystems of formspoints in boxessmall solutions of congruences

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Quadratic forms over general fields (11E04) Finite ground fields in algebraic geometry (14G15) Diophantine equations in many variables (11D72) Trigonometric and exponential sums (general theory) (11L03)

Cites Work

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• Integer points on hypersurfaces
• Equations over finite fields. An elementary approach
• La conjecture de Weil. I
• Homogeneous forms of odd degree in a large number of variables
• The distribution of rational points on varieties defined over a finite field
• The Distribution of Galois Groups and Hilbert's Irreducibility Theorem
• Cubic Forms in Ten Variables
• Number of Points of Varieties in Finite Fields
• Small solutions of congruences