Skip to content

Due to scheduled maintenance, online ordering will not be available on this site from 10:00 until 22:00 GMT on Saturday 16th December. We apologise for the inconvenience.

Cart

Your Cart

×

You have 0 items in your cart.

Register Sign in Wishlist

Heegner Points and Rankin L-Series

£31.99

Part of Mathematical Sciences Research Institute Publications

Henri Darmon, Shour-Wu Zhang, Bryan Birch, Benedict Gross, Dorian Goldfeld, Brian Conrad, W. R. Mann, Vinayak Vatsal, Stephen Kudla, Tonghai Yang, Doug Ulmer, Henri Darmon, Massimo Bertonlini, Peter Green
View all contributors
  • Date Published: August 2010
  • availability: Available
  • format: Paperback
  • isbn: 9780521158206

£ 31.99
Paperback

Add to cart Add to wishlist

Other available formats:
Hardback, eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • The seminal formula of Gross and Zagier relating heights of Heegner points to derivatives of the associated Rankin L-series has led to many generalisations and extensions in a variety of different directions, spawning a fertile area of study that remains active to this day. This volume, based on a workshop on Special Values of Rankin L-series held at the MSRI in December 2001, is a collection of thirteen articles written by many of the leading contributors in the field, having the Gross-Zagier formula and its avatars as a common unifying theme. It serves as a valuable reference for mathematicians wishing to become further acquainted with the theory of complex multiplication, automorphic forms, the Rankin-Selberg method, arithmetic intersection theory, Iwasawa theory, and other topics related to the Gross-Zagier formula.

    • Includes historical and expository articles by some of the leading contributors in the field
    • Valuable reference for mathematicians
    • Based on a workshop on Special Values of Rankin L-series
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: August 2010
    • format: Paperback
    • isbn: 9780521158206
    • length: 382 pages
    • dimensions: 234 x 156 x 20 mm
    • weight: 0.54kg
    • availability: Available
  • Table of Contents

    1. Preface Henri Darmon and Shour-Wu Zhang
    2. Heegner points: the beginnings Bryan Birch
    3. Correspondence Bryan Birch and Benedict Gross
    4. The Gauss class number problem for imaginary quadratic fields Dorian Goldfeld
    5. Heegner points and representation theory Brian Conrad (with an appendix by W. R. Mann)
    6. Special value formulae for Rankin L-functions Vinayak Vatsal
    7. Gross-Zagier formula for GL(2), II Shou-Wu Zhang
    8. Special cycles and derivatives in Eisenstein series Stephen Kudla
    9. Faltings' height and the Derivatives of Eisenstein series Tonghai Yang
    10. Elliptic curves and analogies between number fields and function fields Doug Ulmer
    11. Heegner points and elliptic curves of large rank over function fields Henri Darmon
    12. Periods and points attached to quadratic algebras Massimo Bertolini and Peter Green.

  • Editors

    Henri Darmon, McGill University, Montréal

    Shou-wu Zhang, Columbia University, New York

    Contributors

    Henri Darmon, Shour-Wu Zhang, Bryan Birch, Benedict Gross, Dorian Goldfeld, Brian Conrad, W. R. Mann, Vinayak Vatsal, Stephen Kudla, Tonghai Yang, Doug Ulmer, Henri Darmon, Massimo Bertonlini, Peter Green

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×