Download e-book for kindle: A First Course in Modular Forms (Graduate Texts in by Fred Diamond,Jerry Shurman

By Fred Diamond,Jerry Shurman

ISBN-10: 038723229X

ISBN-13: 9780387232294

ISBN-10: 1441920056

ISBN-13: 9781441920058

This ebook introduces the speculation of modular types, from which all rational elliptic curves come up, with an eye fixed towards the Modularity Theorem. dialogue covers elliptic curves as advanced tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner idea; Hecke eigenforms and their mathematics houses; the Jacobians of modular curves and the Abelian types linked to Hecke eigenforms. because it provides those rules, the ebook states the Modularity Theorem in quite a few kinds, pertaining to them to one another and bearing on their purposes to quantity idea. The authors imagine no historical past in algebraic quantity idea and algebraic geometry. workouts are included.

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This publication introduces the speculation of modular types, from which all rational elliptic curves come up, with an eye fixed towards the Modularity Theorem. dialogue covers elliptic curves as complicated tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner idea; Hecke eigenforms and their mathematics homes; the Jacobians of modular curves and the Abelian types linked to Hecke eigenforms.

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A First Course in Modular Forms (Graduate Texts in Mathematics) by Fred Diamond,Jerry Shurman


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