| Гипотеза Бёрча — Свиннертон-Дайера |  |
Гипотеза Бёрча — Свиннертон-Дайера — математическая гипотеза относительно свойств эллиптических кривых, одна из задач тысячелетия, за решение которой институтом Клэя предложен приз в $1 млн. Википедия
In mathematics, the Birch and Swinnerton-Dyer conjecture describes the set of rational solutions to equations defining an elliptic curve. Peter Swinnerton-Dyer · Bryan John Birch · Hasse–Weil zeta function |
An elliptic curve is a projective, nonsingular curve given by the general Weierstrass equation. E : y2 + a1xy + a3y = x3 + a2x2 + a4x + a6. There is no doubt ... |
26824404 + 153656394 + 187967604 = 206156734. His argument shows that there are infinitely many solutions to Euler's equation. In conclusion, although there has ... |
The L function equal to zero and one can be determined. The linear equations being: x(s⁰) + y = 0. (1) x(s ) + y = 0. |
For all but finitely many prime numbers p, the equation (1.1.1) reduces modulo p to define an elliptic curve over the finite field Fp. The primes that must be ... |
Conjecture of Birch and Swinnerton-Dyer (refined version). The rank of an elliptic curve is equal to the order to which the associated L-function L(s) vanishes ... |
The rational solutions of a cubic equation are all obtainable from a finite number of solutions, using a combination of the secant and tangent processes. 1888- ... |
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