Voorbeelden van het gebruik van Elliptic curve in het Engels en hun vertalingen in het Nederlands
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New cryptography(CNG) API which supports elliptic curve cryptography and improved certificate management.
He did this by attempting to show that any counterexample to Fermat's Last Theorem would imply the existence of at least one non-modular elliptic curve.
Although Mordell's theorem shows that the rank of an elliptic curve is always finite,
Gross& Zagier(1986) showed that if a modular elliptic curve has a first-order zero at s 1 then it has a rational point of infinite order;
i.e. an elliptic curve, such functions are the elliptic integrals.
Kolyvagin(1989) showed that a modular elliptic curve E for which L(E, 1) is not zero has rank 0, and a modular elliptic curve E for which L(E, 1)
Showed that a modular elliptic curve"E" for which"L"("E", 1) is not zero has rank 0, and a modular elliptic curve"E" for which"L"("E", 1) has a first-order
if the L-series of the elliptic curve was not zero at s 1,
NIST has recommended 15 elliptic curves that can be used as standard.
Elliptic curves are abelian varieties of dimension 1.
Connection between ringtheoretical properties of Sklyanin algebras and arithmetic of elliptic curves.
The prototypical examples are the elliptic curves, which have a rich theory.
The 1-dimensional factors are elliptic curves there can also be higher-dimensional factors, so not all Hecke eigenforms correspond to rational elliptic curves.
It was subsequently shown to be true for all elliptic curves over Q, as a consequence of the modularity theorem.
The concept of elliptic curves over finite fields is widely used in elliptic curve cryptography.
For elliptic curves over the rational numbers, the Hasse-Weil conjecture follows from the modularity theorem.
ECC makes use of elliptic curves(larger numbers dividable by prime numbers) to create keys for data encryption.
He then worked with Peter Swinnerton-Dyer on computations relating to the Hasse-Weil L-functions of elliptic curves.
that of semistable elliptic curves, sufficed.
This partial proof of the Sato-Tate conjecture uses Wiles's theorem about modularity of semistable elliptic curves.