Central Library, IISER Berhampur
Amazon cover image
Image from Amazon.com

First course in modular forms

By: Contributor(s): Material type: TextTextLanguage: ENG Series: Graduate texts in Mathematics ; Vol. 228Publication details: New York: Springer Science, c2005.Edition: 1st edDescription: xvi, 450p. : ill. ; 22cmISBN:
  • 9781441920058 (pbk.)
Subject(s): DDC classification:
  • 512.73 DIA 23rd
Summary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Item type Current library Call number Status Notes Date due Barcode
Books Books Vigyanpuri Campus 512.73 DIA (Browse shelf(Opens below)) Available Acquired through NBHM Library Grant 2024-2025. M00062
Books Books Vigyanpuri Campus 512.73 DIA (Browse shelf(Opens below)) Available Acquired through NBHM Library Grant 2024-2025. M00063
Books Books Vigyanpuri Campus 512.73 DIA (Browse shelf(Opens below)) Checked out to Pratap Mondal (2410302) Acquired through NBHM Library Grant 2023-2024. 09/08/2025 006523

Includes List of symbols, references and index.

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.

There are no comments on this title.

to post a comment.