The idea of elliptic curves and modular varieties offers a fruitful assembly floor for such assorted components as quantity conception, advanced research, algebraic geometry, and illustration conception. This ebook begins out with an issue from uncomplicated quantity concept and proceeds to guide its reader into the fashionable idea, masking such subject matters because the Hasse-Weil L-function and the conjecture of Birch and Swinnerton-Dyer. This re-creation info the present country of information of elliptic curves.

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