By Fred Diamond,Jerry Shurman

ISBN-10: 038723229X

ISBN-13: 9780387232294

ISBN-10: 1441920056

ISBN-13: 9781441920058

This publication introduces the speculation of modular kinds, 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 thought; Hecke eigenforms and their mathematics homes; the Jacobians of modular curves and the Abelian forms linked to Hecke eigenforms. because it provides those principles, the e-book states the Modularity Theorem in a number of kinds, concerning them to one another and bearing on their purposes to quantity thought. The authors suppose no history in algebraic quantity idea and algebraic geometry. routines are included.

**Read or Download A First Course in Modular Forms (Graduate Texts in Mathematics) PDF**

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**Read e-book online A First Course in Modular Forms (Graduate Texts in PDF**

This e-book introduces the idea of modular varieties, 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 idea; Hecke eigenforms and their mathematics homes; the Jacobians of modular curves and the Abelian forms 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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