Ribet's Theorem

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, Ribet''s theorem (earlier called the epsilon conjecture or -conjecture) is a statement in number theory concerning properties of Galois representations associated with modular forms. It was proposed by Jean-Pierre Serre and proved by Ken Ribet. The proof of epsilon conjecture was a significant step towards the proof of Fermat''s Last Theorem. As shown by Serre and Ribet, the Taniyama Shimura conjecture (whose status was unresolved at the time) and the epsilon conjecture together imply that Fermat''s Last Theorem is true. Ribet mentions in a NOVA program entitled "The Proof" that Barry Mazur casually assisted him in the completion of his proof by suggesting that he add a "gamma-zero of (M) structure" ( denoted 0(m) , see modular group Gamma0 ) to generalize his results.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131261718
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131261718
    • Format Fachbuch
    • Titel Ribet's Theorem
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 68
    • Genre Mathematik

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