Number Theory

Get A First Course in Modular Forms (Graduate Texts in PDF

By Fred Diamond,Jerry Shurman

ISBN-10: 038723229X

ISBN-13: 9780387232294

ISBN-10: 1441920056

ISBN-13: 9781441920058

This booklet introduces the idea of modular types, from which all rational elliptic curves come up, with a watch 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 conception; Hecke eigenforms and their mathematics homes; the Jacobians of modular curves and the Abelian types linked to Hecke eigenforms. because it offers those principles, the booklet states the Modularity Theorem in numerous varieties, pertaining to them to one another and pertaining to their functions to quantity thought. The authors think no heritage in algebraic quantity thought 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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