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This theorem, concerning the finite generation of the group of rational points on an elliptic curve, is beautifully surveyed in.
this result does imply that the elliptic curve given above is modular,
functions of real variables, elliptic functions, Abelian functions,
the so-called"fully nonlinear second order degenerate elliptic partial differential equations.".
then a lecturer at the University of Nottingham for her work on number theory and elliptic curves.
This was on the strength of some excellent mathematical papers on the calculation of elliptic functions, the first of which was The geometry of the elliptic equation which he published in 1858.
Bolza published The elliptic s-functions considered as a special case of the hyperelliptic s-functions in 1900 which related to work he had been studying for his doctorate under Klein.
Coates's insights into the Iwasawa theory of the symmetric square of an elliptic curve were instrumental in the recent proof by Wiles of the Shimura- Taniyama conjecture for semistable elliptic curves over Q.
the latter solving it using elliptic functions.
Hermite showed in 1858 that an algebraic equation of the fifth degree could be solved using elliptic functions.
added a note to this effect to the second part of his major work on elliptic functions.
that Fermat's Last Theorem follows from the Shimura- Taniyama conjecture that every elliptic curve defined over the rational numbers is modular.
we mention that he was interested in conformal map projections where he invented a quincuncial map projection using elliptic functions.
succeeded in proving that all semistable elliptic curves defined over the rational numbers are modular.
His nine books cover a wide range of mathematical topics such as elliptic functions, tessellations(Noneuclidean tessellations and their groups(1974)), combinatorial group theory(a major work Combinatorial group theory(1966) written jointly with A Karrass and D Solitar) and mathematical physics.
using the daring idea of converting an elliptic equation into a hyperbolic one by penetrating into the complex domain,
Most of Schottky's work concerns elliptic, abelian and theta functions.
The third volume was largely devoted to tables of elliptic integrals.
In 1922 he headed a team preparing a table of elliptic functions.
Mittag-Leffler attended Hermite 's lectures on elliptic functions but found them hard going.