modularity theorem造句

Conrad and others proved the modularity theorem, also known as the Taniyama-Shimura Conjecture.
This would conflict with the modularity theorem, which asserted that all elliptic curves are modular.
Several theorems in number theory similar to Fermat's Last Theorem follow from the modularity theorem.
For elliptic curves over the rational numbers, the Hasse Weil conjecture follows from the modularity theorem.
In 1984, Gerhard Frey noticed an apparent link between the modularity theorem and Fermat's Last Theorem.
It's difficult to find modularity theorem in a sentence. 用modularity theorem造句挺难的

In 1984, Gerhard Frey noted a link between Fermat's equation and the modularity theorem, then still a conjecture.
This showed that a proof of the Serre's conjecture on modular Galois representations, which would imply the modularity theorem.
Hearing of the 1986 proof of the epsilon conjecture, Wiles decided to begin working exclusively towards a proof of the modularity theorem.
The modularity theorem, also known as the Taniyama Shimura conjecture, asserts that every elliptic curve defined over the rational numbers is modular.
Several other theorems in number theory similar to Fermat's Last Theorem also follow from the same reasoning, using the modularity theorem.
The unsolved problem stimulated the development of algebraic number theory in the 19th century and the proof of the modularity theorem in the 20th century.
The remaining parts of the modularity theorem were subsequently proved by other mathematicians, building on Wiles's work, between 1996 and 2001 ..
As such, a proof or disproof of either of Fermat's Last Theorem or the modularity theorem would simultaneously prove or disprove the other.
It was subsequently shown to be true for all elliptic curves over "'Q "', as a consequence of the modularity theorem.
These papers established the modularity theorem for semistable elliptic curves, the last step in proving Fermat's Last Theorem, 358 years after it was conjectured.

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