Titlebook: Number Theory Related to Fermat’s Last Theorem; Proceedings of the c Neal Koblitz Conference proceedings 1982 Springer Science+Business Med

Lymphocyte

Irremediable

The Fermat Equation and Transcendence Theory,irst work in the field in which n is treated as a variable rather than as a fixed exponent. In my talk today I should 1ike to describe a little of the background to this development and I should 1ike to mention also some very recent related work in the context of function fields.

漂白

On the Conjecture of Birch and Swinnerton-Dyer for Elliptic Curves with Complex Multiplication,innerton-Dyer have conjectured that r(E) is equal to the rank of the finitely generated group E(F) of points over F; they have also given a conjectural formula for c(E) in terms of certain arithmetic invariants of the curve (2.10).

Acupressure

Mordell-Weil Groups of Elliptic Curves Over Cyclotomic Fields,F) over such fields has been studied by Ribet. As a special case of a much more general theorem [16] he has proved that, for any elliptic curve E over . and any abelian extension F of ., the group E(F). is finite.

淡紫色花

輕浮女

The Degenerate Fibre of the Fermat Curve,Let p be an odd prime, ζ a primitive p-th root of unity and let k = Q.(ζ).

重疊

Diophantine Properties of the Periods of the Fermat Curve,Most of this lecture will be devoted to the investigation of the arithmetic nature of the numbers β(a,b) for rational numbers a and b. We consider the transcendence, algebraic independence and linear independence of numbers related to the gamma and beta functions, as well as some associated quantitative results.

討好美人

An Archimedean Analogue of the Root Number,Fix an integer m>1 and let k be a number field embedded in ? containing the m-th roots of unity. Let X be a smooth, projective, geometrical1y connected curve over k such that Aut(X/k) contains a cyclic subgroup G of order m. The symbols m, k, X and G have this fixed meaning throughout the talk.

dearth

JEER