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

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書目名稱Number Theory Related to Fermat’s Last Theorem影響因子(影響力)




書目名稱Number Theory Related to Fermat’s Last Theorem影響因子(影響力)學(xué)科排名




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BARB

Geometry of Fermat Varieties, automorphisms acts on a Fermat variety. The other is the existence of the so-called “inductive structure” of Fermat varieties of a fixed degree. By combining these, we can deal with various geometric questions concerning Fermat varieties and their products (or varieties closely related to them) suc

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hereditary

The Fermat Equation and Transcendence Theory,een shown, in papers of Stewart and of Inkeri and van der Poorten, that if |x - y| is bounded by some fixed number then the equation x. + y. = z. has only finitely many solutions in positive integers x,y,z,n(> 2) and, in principle, these can all be effectively determined. This would seem to be the f

人類

Values of L-Functions of Jacobi-Sum Hecke Characters of Abelian Fields,on is done only up to algebraic numbers, and we assume that the Hecke character is in the “good range.” We may make a more refined Statement (the Γ-hypothesis), which actually predicts the values up to rational numbers, and which has been verified in the totally real case ([B]) and in the case of im

ARC

On the Conjecture of Birch and Swinnerton-Dyer for Elliptic Curves with Complex Multiplication,in the half-plane Re(s) > 3/2 (2.4). Whenever L(E,s) has an analytic continuation to the entire complex plane, we can consider the first term in its Taylor expansion at s= 1; we write L(E,s) ~ c(E) (s ? 1). as s → 1, where r(E) is a nonnegative integer and c(E) is a nonzero real number. Birch and Sw

來這真柔軟

Mordell-Weil Groups of Elliptic Curves Over Cyclotomic Fields,orem asserts that if F is a finite extension of . then E(F) is finitely generated. Our main result shows that for a large class of elliptic curves over ., and for certain infinite abelian extensions F of ., the group E(F) remains finitely generated. it should be noted that the torsion subgroup of E(

只有

,Iwasawa’s Theory and p-ADIC L-Functions for Imaginary Quadratic Fields,is to provide some evidence for a “two-variable main conjecture” that has been suggested at least in special cases by R. Yager in [12]. We will first describe various “main conjectures” that have been proposed over the years in a more general and unified way.

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Dorian Goldfeld,Jeffrey Hoffstein,Samuel James Patterson

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