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Hasse–Weil zeta function

In mathematics, the Hasse–Weil zeta function attached to an algebraic variety V defined over an algebraic number field K is a meromorphic function on the complex plane defined in terms of the number of points on the variety after reducing modulo each prime number p. It is a global L-function defined as an Euler product of local zeta functions.

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Definition

Hasse–Weil conjecture

Birch and Swinnerton-Dyer conjecture

Elliptic curves over Q

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Hasse–Weil zeta function

Nodes57
Edges56
Triples27
Avg. degree1.96
Density0.035088
Components1

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Hasse–Weil zeta function

Top relations

related to Definition · 13
Hasse–Weil zeta function → Again, André Weil, Dirichlet, Euler, Hasse, Helmut Hasse, Riemann, Taking, The, This, Vp, We, Weil
related to Elliptic curves over Q · 9
Hasse–Weil zeta function → An, E/Q, Here, L-function, Let, Riemann, The Hasse, Then, Weil
related to Hasse–Weil conjecture · 5
Hasse–Weil zeta function → For, Hasse, Riemann, The Hasse, Weil

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Important terminology

hasse weil zeta function conjecture reduction number elliptic curve displaystyle field points l-function primes defined global definition group good complex

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SubjectPredicateObjectConfidenceSrc
Hasse–Weil zeta functionrelated to DefinitionThe0.60section
Hasse–Weil zeta functionrelated to DefinitionHasse0.60section
Hasse–Weil zeta functionrelated to DefinitionWeil0.60section
Hasse–Weil zeta functionrelated to DefinitionEuler0.60section
Hasse–Weil zeta functionrelated to DefinitionThis0.60section
Hasse–Weil zeta functionrelated to DefinitionHelmut Hasse0.60section
Hasse–Weil zeta functionrelated to DefinitionAndré Weil0.60section
Hasse–Weil zeta functionrelated to DefinitionRiemann0.60section
Hasse–Weil zeta functionrelated to DefinitionTaking0.60section
Hasse–Weil zeta functionrelated to DefinitionVp0.60section
Hasse–Weil zeta functionrelated to DefinitionAgain0.60section
Hasse–Weil zeta functionrelated to DefinitionWe0.60section

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