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Conjecture

Sato-Tate Conjecture

Number Theory

The Sato-Tate conjecture is a statistical statement about the family of elliptic curves obtained from an elliptic curve E over the rational numbers by reduction modulo almost all prime numbers p. Mikio Sato and John Tate independently posed the conjecture around 1960.

Facts
Statement
The Sato-Tate conjecture is a statistical statement about the family of elliptic curves obtained from an elliptic curve E over the rational numbers by reduction modulo almost all prime numbers p. 1
Prize Status
Prize Status (category)
No Prize Offered 1
Partially Attested
Proposed Year
1960 1
Source gives this as an approximate year ('around 1960'), not an exact date.
Classification
Resolution Status
Proven 1
Chronology
Resolved Year
2011 1
Connections

In Branch

Source Sato-Tate conjecture (Wikipedia)

Posed By

Source Sato-Tate conjecture (Wikipedia)
Sources
1. Sato-Tate conjecture (Wikipedia)
  • Lead section
    In mathematics, the Sato-Tate conjecture is a statistical statement about the family of elliptic curves Ep obtained from an elliptic curve E over the rational numbers by reduction modulo almost all prime numbers p.
  • History section
    Mikio Sato and John Tate independently posed the conjecture around 1960.
  • In Branch: Number Theory, Lead
    the Sato-Tate conjecture is a statistical statement about the family of elliptic curves Ep obtained from an elliptic curve E over the rational numbers by reduction modulo almost all prime numbers p
  • Posed By: John Tate, Lead
    This is due to Mikio Sato and John Tate (independently, and around 1960, published somewhat later).
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