We prove that all elliptic curves defined over totally real cubic fields are modular. This builds on previous work of Freitas, Le Hung and Siksek, who proved modularity of elliptic curves over real quadratic fields, as well as recent breakthroughs due to Thorne and to Kalyanswamy.Derickx, ...
Modular forms and modular curves This is an extensive survey introduction to the theory of modular forms and modular curves, with a special focus on those parts of the theory that are relevant to the recent work of Wiles, Taylor, and Ribet on the modularity conjecture a... F Diamond,J Im...
Elliptic Curves, Modular Forms, and Their L-functions 2025 pdf epub mobi 用户评价 评分☆☆☆ 一本薄书介绍三个大对象,必须是导引书,但导引的不错。 评分☆☆☆ 最有用的部分是介绍Sage的附录 评分☆☆☆ 一本薄书介绍三个大对象,必须是导引书,但导引的不错。 评分☆☆☆ 一本薄书介绍三个大...
费马大定理证明的主要论文nedtheoremconjprimeseecurvesChapterfollowsnot 系统标签: modularelliptictheoremcurvesfermats费马 AnnalsofMathematics,141(1995),443-551 PierredeFermatAndrewJohnWiles Modularellipticcurves and Fermat’sLastTheorem ByAndrewJohnWiles* ForNada,Claire,KateandOlivia Cubumauteminduoscubos,autqu...
A Family Elliptic $mathbb{Q}$-Curves Defined over Biquadratic Fields and Their Modularity (eng) In particular, when $C=\\\BBbP^1$, the family of elliptic curves must be one of Beauville's 6 examples whereArakelov inequality reaches equality.doi... AU Takeshi Hibino 被引量: 5发表: 1999...
On the modularity of supersingular elliptic curves over certain totally real number fields Wiles, Modular elliptic curves and Fermat's Last Theorem, Ann. of Math. 141 (1995) 443–551; R. Taylor, A. Wiles, Ring-theoretic properties of ... F Jarvis,J Manoharmayum - 《Journal of Number Theo...
This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion cove... Shurman,J Michael - 世界图书出版公司 被引量: 920发表: 2007年 Introduction to elliptic curves and modular forms The theory of elliptic ...
Conrad, F. Diamond, and R. Taylor. On the modularity of elliptic curves over Q: wild 3-adic exercises. J. Amer. Math. Soc., 14(4):843–939 (electronic), 2001. Google Scholar F. Brezing and A. Weng. Elliptic curves suitable for pairing based cryptography. Des. Codes Cryptogr., ...
2014. Diophantine m-tuples,ellipticcurves, Thue and index formequations 2014. Diofantske m-torke,eliptičkekrivulje, Thueove ijednadžbeindeksnog oblika ParaCrawl Corpus The goal of this thesis was to demonstrate application of the modularity theorem and theories ofellipticcurves and modular ...
Number Theory -> Curves over Finite Fields -> Riemann Surfaces References: http://en.m.wikipedia.org/wiki/Modularity_theorem Love and Math by Edward Frenkel http://www.amazon.co.uk/dp/0465050743/ref=cm_sw_r_udp_awd_53swtb16779PY Click below for more free loan at the Singapore National ...