Elliptic curves, modular forms, and applications (Q2768077)

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scientific article; zbMATH DE number 1698968
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Elliptic curves, modular forms, and applications
scientific article; zbMATH DE number 1698968

    Statements

    25 February 2003
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    survey
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    elliptic curves
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    modular forms
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    \(\ell\)-adic representations
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    Diophantine equations
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    algorithms for primality testing
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    factoring
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    cryptography
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    Elliptic curves, modular forms, and applications (English)
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    The paper is a very well written survey article of a series of eight lectures given during the summer 1999 at the Park City Mathematics Institute on Arithmetic Algebraic Geometry concerning the theory of elliptic curves, classical theory of modular forms and applications to the construction of \(\ell\)-adic representations, the solution of Diophantine equations and algorithms for primality testing, factoring and cryptography.NEWLINENEWLINEFor the entire collection see [Zbl 0974.00034].
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