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  3. Heegner Points and Rankin L-Series
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    • Publisher:
      Cambridge University Press
      Publication date:
      06 July 2010
      21 June 2004
      ISBN:
      9780511756375
      9780521836593
      9780521158206
      DOI:
      https://doi.org/10.1017/CBO9780511756375
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.71kg, 380 Pages
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.51kg, 382 Pages
      • Subjects:
      Mathematics, Real and Complex Analysis, Number Theory
      Series:
      Mathematical Sciences Research Institute Publications (49)
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    • Selected: Digital
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    Subjects:
    Mathematics, Real and Complex Analysis, Number Theory
    Series:
    Mathematical Sciences Research Institute Publications (49)
    Information

    Book description

    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.

    Reviews

    "The volume has an excellent array of topics and it is written by the leading mathematicians in the field. Each article serves well as an overview of the main concepts and definitely encourages the reader to pursue a deeper study of the field." MAA Reviews, Alvara Lozano-Robledo, Cornell University

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