Computational experiments in arithmetic geometry over finite fields and their computer support

DOI10.1007/BF02667056zbMath1001.11026MaRDI QIDQ5951280

Yu. V. Kapitonova, Nikolaj M. Glazunov

Publication date: 17 December 2002

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

zbMATH Keywords

algebraic curves over finite prime fieldsdensity functions of distributionsdistribution of angles of Kloosterman sumsdistribution of arithmetic sequencesexistence of rational pointspoints of algebraic varieties over finite prime fieldsverification of distribution functions

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Computational aspects of algebraic curves (14Q05) Varieties over finite and local fields (11G25)

Cites Work

• On an analogue of the Sato conjecture
• Bilinear forms with Kloosterman fractions
• La conjecture de Weil. I
• Modular elliptic curves and Fermat's Last Theorem
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
• On the distribution of angles of Kloosterman sums.
• How the Number of Points of An Elliptic Curve Over a Fixed Prime Field Varies
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