The concept of elliptic curves and modular types presents a fruitful assembly flooring for such varied parts as quantity thought, complicated research, algebraic geometry, and illustration idea. This e-book begins out with an issue from undemanding quantity conception and proceeds to guide its reader into the fashionable conception, masking such themes because the Hasse-Weil L-function and the conjecture of Birch and Swinnerton-Dyer. This new version info the present country of information of elliptic curves.

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