Hasse's theorem on elliptic curves
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 that The reason 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.
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Hasse's theorem on elliptic curves
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 that The reason 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.
has abstract
En mathématiques, le théorème ...... omplexes, chacun de module √q.
@fr
Hasse's theorem on elliptic cu ...... iated with the elliptic curve.
@en
Hasseho věta je tvrzení z alge ...... dříve předpověděl Emil Artin.
@cs
Теорема Гассе про еліптичні кр ...... ійованого з еліптичною кривою.
@uk
Теорема Хассе об эллиптических ...... анного с эллиптической кривой.
@ru
楕円曲線のハッセの定理(Hasse's theorem on ...... 付随する函数体のリーマン予想との類似を理解することができる。
@ja
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En mathématiques, le théorème ...... s fonctions zeta locales de E.
@fr
Hasse's theorem on elliptic cu ...... rs, each of absolute value √q.
@en
Hasseho věta je tvrzení z alge ...... dříve předpověděl Emil Artin.
@cs
Теорема Гассе про еліптичні кр ...... но в серії статей у 1936 році.
@uk
Теорема Хассе об эллиптических ...... анного с эллиптической кривой.
@ru
楕円曲線のハッセの定理(Hasse's theorem on ...... 付随する函数体のリーマン予想との類似を理解することができる。
@ja
label
Hasse's theorem on elliptic curves
@en
Hasseho věta
@cs
Théorème de Hasse sur les courbes elliptiques
@fr
Теорема Гассе про еліптичні криві
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Теорема Хассе
@ru
楕円曲線のハッセの定理
@ja