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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.
* Kagoshima city tram Taniyama Line
* 1927 – Yutaka Taniyama, Japanese mathematician ( d. 1958 )
* Ema Tsutomu, Taniyama Shigeru, Ino Kenji, Kyoto Shobō © 1977 revised 1981 reprinted 1982
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.
A well-known example is the Taniyama – Shimura conjecture, now the modularity theorem, which proposed that each elliptic curve over the rational numbers can be translated into a modular form ( in such a way as to preserve the associated L-function ).
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.
* Kagoshima Prefectural road 210 koyamada Taniyama line

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