It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with an overview of the complete p... (展开全部) 喜欢读"Modular Forms ...
Taylor. The proof that every semi-stable elliptic curve over Q is modular is not only significant in the study of elliptic curves, but also due to the earlier work of Frey, Ribet, and others, completes a proof of Fermat's last theorem. New paperback re-issue of the revised second ...
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费马大定理证明的主要论文nedtheoremconjprimeseecurvesChapterfollowsnot 系统标签: modularelliptictheoremcurvesfermats费马 AnnalsofMathematics,141(1995),443-551PierredeFermatAndrewJohnWilesModularellipticcurvesandFermat’sLastTheoremByAndrewJohnWiles*ForNada,Claire,KateandOliviaCubumauteminduoscubos,autquadratoquadra...
After the proof of Fermat’s Last Theorem and the subsequent expository articles describing the modularity theorem, Martin and Ono wrote an article compiling the complete list of all weight 2 newforms that are eta-quotients. Five of these curves have complex multiplication, and using q-series inf...
MODULAR ELLIPTIC CURVES AND FERMAT’S LAST THEOREM 497We thus have a sequence (not necessarily exact)0 → J H (N) 3κ−→J H (Nq,q 2 ) → Z → 0where κ = π ∗ ◦ξ which induces a corresponding sequence of p-divisible groupswhich becomes exact when localized at an m (q...
Modular Elliptic Curves and Fermat´s Last Theorembr/Annals of MathematicsModular Elliptic Curves and Fermat´s Last TheoremAuthor(s): Andrew WilesSource: The Annals of Mathematics, Second Series, Vol. 141, No. 3 (May, 1995), pp. 443-551Published by: Annals of MathematicsStable URL: ...
(N= 360). Modular arithmetic is important innumber theory, where it is a fundamental tool in the solution ofDiophantine equations(particularly those restricted tointegersolutions). Generalizations of the subject led to important 19th-century attempts to proveFermat’s last theoremand the development ...
In the present work in an effort to obtain a convincing explanation of the above Winger’s “enigma”, the existing philosophical views about the above question are critically examined and discussed in connection with the advances in the history of mathematics that affected the human beliefs about...
modular forms o a ois represen a ion om he mid 198 s he main impe us o he eld was given by he on e ures of Serre whi h elabora ed on h on e ure alluded o before esides he wor of Ribe and o hers on his problem we draw on some of he more spe iali ed ...