A First Course in Modular Forms

Jerry Shurman

ISBN 10: 038723229X / ISBN 13: 9780387232294

Editore: Springer New York, Springer US Jan 2005, 2005

Riguardo questo articolo

Neuware -All rational elliptic curves arise from modular forms.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 472 pp. Englisch.

Codice articolo 9780387232294

Dati bibliografici

• Titolo: A First Course in Modular Forms
• Editore: Springer New York, Springer US Jan 2005
• Data di pubblicazione: 2005
• Lingua: Inglese
• ISBN 10: 038723229X
• ISBN 13: 9780387232294
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 241 L x 160 A x 30 P (millimetri) 241 millimetri di larghezza per 160 millimetri di altezza per 30 millimetri di profondità
• Peso: 955 grammi

Descrizione articolo

Riassunto

This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers elliptic curves as complex tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner theory; Hecke eigenforms and their arithmetic properties; the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory. The authors assume no background in algebraic number theory and algebraic geometry. Exercises are included.

Informazioni sull?autore

Fred Diamond teaches at Brandeis University.