of Serre ) became known as the Taniyama – Shimura conjecture ( resp.

Taniyama – Weil conjecture ) based on a roughly formulated question of Taniyama at the 1955 Nikkō conference.

His attitude towards conjectures was that one should not dignify a guess as a conjecture lightly, and in the Taniyama case, the evidence was only there after extensive computational work carried out from the late 1960s.

* On April 29, 1967-the Cities of Kagoshima and the Taniyama, merged and became city of new Kagoshima.

* 1927 – Yutaka Taniyama, Japanese mathematician ( d. 1958 )

In mathematics the modularity theorem ( formerly called the Taniyama – Shimura – Weil conjecture and several related names ) states that elliptic curves over the field of rational numbers are related to modular forms.

Goro Shimura and Taniyama worked on improving its rigor until 1957. rediscovered the conjecture, and showed that it would follow from the ( conjectured ) functional equations for some twisted L-series of the elliptic curve ; this was the first serious evidence that the conjecture might be true.

The conjecture attracted considerable interest when suggested that the Taniyama – Shimura – Weil conjecture implies Fermat's Last Theorem.

In the summer of 1986, proved the epsilon conjecture, thereby proving that the Taniyama – Shimura – Weil conjecture implied Fermat's Last Theorem.

, with some help from Richard Taylor, proved the Taniyama – Shimura – Weil conjecture for all semistable elliptic curves, which was strong enough to yield a proof of Fermat's Last Theorem.

The full Taniyama – Shimura – Weil conjecture was finally proved by,, and who, building on Wiles ' work, incrementally chipped away at the remaining cases until the full result was proved.

The Taniyama – Shimura conjecture for elliptic curves ( now proven ) establishes a one-to-one correspondence between curves defined as modular forms and elliptic curves defined over the rational numbers.

While this theory is in one sense closely linked with the Taniyama – Shimura conjecture, it should be understood that the conjecture actually operates in the opposite direction.

In general its properties, such as functional equation, are still conjectural – the Taniyama – Shimura conjecture ( which was proven in 2001 ) was just a special case, so that's hardly surprising.

* April 1, 1897-The district absorbed Kitaosumi and Taniyama Districts and added the villages of Nishisakurajima, Higashisakurajima, and Taniyama.

* September 1, 1924-The village of Taniyama gained town status to become the town of Taniyama.

* October 1, 1958-The town of Taniyama gained city status to become the city of Taniyama.

A book focusing on elliptic curves, beginning at an undergraduate level ( at least for those who have had a course on abstract algebra ), and progressing into much more advanced topics, even at the end touching on Andrew Wiles ' proof of the Taniyama – Shimura conjecture which led to the proof of Fermat's last theorem.

* Almost all the characters of Ghost Hunt like Taniyama Mai, Kazuya Shibuya and all the members of the SPR.

* In mathematics, the modularity theorem ( formerly the Taniyama – Shimura conjecture ) establishes a connection between elliptic curves and modular forms.