Download e-book for iPad: 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 publication introduces the idea of modular kinds, 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 conception; Hecke eigenforms and their mathematics houses; the Jacobians of modular curves and the Abelian forms linked to Hecke eigenforms. because it offers those rules, the booklet states the Modularity Theorem in a number of kinds, concerning them to one another and pertaining to their purposes to quantity thought. The authors suppose no history in algebraic quantity conception and algebraic geometry. routines are included.

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


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