2004/06/21 by Mathematical Sciences Research Institute · 34 citations
Mathematics · #Analytic Number Theory Research #Advanced Algebra and Geometry #Mathematics and Applications #Series (stratigraphy) #Intersection (aeronautics) #Mathematics #Theme (computing) #Field (mathematics) #Automorphic form #Pure mathematics #Arithmetic #Computer science #Geography #World Wide Web #Cartography
paper · doi:10.1017/cbo9780511756375
published in Cambridge University Press eBooks (Cambridge University Press)
openalex publication_date 2004/06/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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.