Lymphocyte
发表于 2025-3-23 12:48:02
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Irremediable
发表于 2025-3-23 16:52:40
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
发表于 2025-3-23 20:21:51
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
发表于 2025-3-24 01:47:15
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 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
发表于 2025-3-24 05:11:14
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轻浮女
发表于 2025-3-24 07:03:01
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).
重叠
发表于 2025-3-24 13:36:14
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.
讨好美人
发表于 2025-3-24 15:27:56
An Archimedean Analogue of the Root Number,Fix an integer m>1 and let k be a number field embedded in ℂ 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
发表于 2025-3-24 21:27:43
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JEER
发表于 2025-3-24 23:16:03
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