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- Hasse's_theorem_on_elliptic_curves abstract "Hasse's theorem on elliptic curves, also referred to as the Hasse bound, provides an estimate of the number of points on an elliptic curve over a finite field, bounding the value both above and below. If N is the number of points on the elliptic curve E over a finite field with q elements, then Helmut Hasse's result states thatThat is, the interpretation is that N differs from q + 1, the number of points of the projective line over the same field, by an 'error term' that is the sum of two complex numbers, each of absolute value √q.This result had originally been conjectured by Emil Artin in his thesis. It was proven by Hasse in 1933, with the proof published in a series of papers in 1936.Hasse's theorem is equivalent to the determination of the absolute value of the roots of the local zeta-function of E. In this form it can be seen to be the analogue of the Riemann hypothesis for the function field associated with the elliptic curve.".
- Hasse's_theorem_on_elliptic_curves wikiPageID "1108758".
- Hasse's_theorem_on_elliptic_curves wikiPageRevisionID "598188251".
- Hasse's_theorem_on_elliptic_curves hasPhotoCollection Hasse's_theorem_on_elliptic_curves.
- Hasse's_theorem_on_elliptic_curves subject Category:Algebraic_curves.
- Hasse's_theorem_on_elliptic_curves subject Category:Finite_fields.
- Hasse's_theorem_on_elliptic_curves subject Category:Theorems_in_algebraic_number_theory.
- Hasse's_theorem_on_elliptic_curves type Abstraction100002137.
- Hasse's_theorem_on_elliptic_curves type AlgebraicCurves.
- Hasse's_theorem_on_elliptic_curves type Attribute100024264.
- Hasse's_theorem_on_elliptic_curves type Communication100033020.
- Hasse's_theorem_on_elliptic_curves type Curve113867641.
- Hasse's_theorem_on_elliptic_curves type Line113863771.
- Hasse's_theorem_on_elliptic_curves type Message106598915.
- Hasse's_theorem_on_elliptic_curves type Proposition106750804.
- Hasse's_theorem_on_elliptic_curves type Shape100027807.
- Hasse's_theorem_on_elliptic_curves type Statement106722453.
- Hasse's_theorem_on_elliptic_curves type Theorem106752293.
- Hasse's_theorem_on_elliptic_curves type TheoremsInAlgebraicNumberTheory.
- Hasse's_theorem_on_elliptic_curves type TheoremsInNumberTheory.
- Hasse's_theorem_on_elliptic_curves comment "Hasse's theorem on elliptic curves, also referred to as the Hasse bound, provides an estimate of the number of points on an elliptic curve over a finite field, bounding the value both above and below.".
- Hasse's_theorem_on_elliptic_curves label "Hasse's theorem on elliptic curves".
- Hasse's_theorem_on_elliptic_curves label "Théorème de Hasse sur les courbes elliptiques".
- Hasse's_theorem_on_elliptic_curves label "Теорема Хассе".
- Hasse's_theorem_on_elliptic_curves sameAs Hasseho_věta.
- Hasse's_theorem_on_elliptic_curves sameAs Théorème_de_Hasse_sur_les_courbes_elliptiques.
- Hasse's_theorem_on_elliptic_curves sameAs 楕円曲線のハッセの定理.
- Hasse's_theorem_on_elliptic_curves sameAs m.046q_l.
- Hasse's_theorem_on_elliptic_curves sameAs Q3502015.
- Hasse's_theorem_on_elliptic_curves sameAs Q3502015.
- Hasse's_theorem_on_elliptic_curves sameAs Hasse's_theorem_on_elliptic_curves.
- Hasse's_theorem_on_elliptic_curves wasDerivedFrom Hasse's_theorem_on_elliptic_curves?oldid=598188251.
- Hasse's_theorem_on_elliptic_curves isPrimaryTopicOf Hasse's_theorem_on_elliptic_curves.