Separately from anything related to fermats last theorem in the 1950s and 1960s japanese mathematician goro shimura drawing on ideas posed by yutaka taniyama conjectured that a connection might exist between elliptic curves and modular formsthese were mathematical objects with no known connection between them. Modular elliptic curves and fermats last theorem by andrewjohnwiles imply fermats last theorem the precise mechanism relating the two was representations and modular forms on the one hand and the interpretation of special values of l functions on the other the former tradition is of course more recent following the original . Contributors includethe purpose of the conference and of this book is to introduce and explain the many ideas and techniques used by wiles in his proof that every semi stable elliptic curve over q is modular and to explain how wiles result can be combined with ribets theorem and ideas of frey and serre to show at long last that fermat . The proof of fermats last theorem spring 2003 ii introduction this book will describe the recent proof of fermats last the orem by andrew wiles aided by richard taylor for graduate students and faculty with a reasonably broad background in al gebra it is hard to give precise prerequisites but a first course last theorem . Elliptic curves modular forms and fermats last theorem fermats last theorem responsibility edited by john coates st yau more information inhaltstext reviews user contributed reviews tags add tags for elliptic curves modular forms fermat
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