Évaluation d'une somme cubique de caractères. (Evaluation of a cubic character sum)

DOI10.1016/0022-314X(87)90049-7zbMath0619.10035MaRDI QIDQ1089379

Dimitrios Poulakis

Publication date: 1987

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

elliptic curves with complex multiplicationFrobenius automorphismLegendre symbolevaluation of cubic character sumsformula for multiplication by \(\sqrt{-3}\)

Mathematics Subject Classification ID

Elliptic curves (14H52) Polynomials over finite fields (11T06) Finite ground fields in algebraic geometry (14G15) Jacobsthal and Brewer sums; other complete character sums (11L10)

Related Items (1)

Elliptic Curves and Primality Proving

Cites Work

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• Evaluation of a cubic character sum using the \(\sqrt{-19}\) division points of the curve \(y^ 2=x^ 3-2^ 3\cdot 19x+2\cdot 19^ 2\)
• Jacobi sums and a theorem of Brewer
• The number of solutions of the congruence \(y^2 \equiv x^4 - a\pmod p\)
• Note on a cubic character sum
• Hasse invariants and anomalous primes for elliptic curves with complex multiplication
• A theorem of Brewer on character sums
• Demonstration élémentaire d'un théorème de Davenport et Hasse
• On Certain Character Sums
• A new cubic character sum
• Conductor of elliptic curves with complex multiplication and elliptic curves of prime conductor
• Evaluation of Character Sums Connected with Elliptic Curves
• The Diophantine equationy²= x(x²+ 21Dx+ 112D²)and the conjectures of Birch and Swinnerton-Dyer
• Certain Classical Congruences Via Elliptic Curves
• On the Evaluation of Brewer's Character Sums

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