On singular moduli.

B.H. Gross; Don B. Zagier

Journal für die reine und angewandte Mathematik (1984)

  • Volume: 355, page 191-220
  • ISSN: 0075-4102; 1435-5345/e

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Gross, B.H., and Zagier, Don B.. "On singular moduli.." Journal für die reine und angewandte Mathematik 355 (1984): 191-220. <http://eudml.org/doc/152694>.

@article{Gross1984,
author = {Gross, B.H., Zagier, Don B.},
journal = {Journal für die reine und angewandte Mathematik},
keywords = {modular function ; singular moduli; prime factorization of the absolute norm; modular polynomial; arithmetic of maximal orders in quaternion algebras; geometry of supersingular elliptic curves; Fourier coefficients; Eisenstein series; Hilbert modular group; local heights; Heegner points},
pages = {191-220},
title = {On singular moduli.},
url = {http://eudml.org/doc/152694},
volume = {355},
year = {1984},
}

TY - JOUR
AU - Gross, B.H.
AU - Zagier, Don B.
TI - On singular moduli.
JO - Journal für die reine und angewandte Mathematik
PY - 1984
VL - 355
SP - 191
EP - 220
KW - modular function ; singular moduli; prime factorization of the absolute norm; modular polynomial; arithmetic of maximal orders in quaternion algebras; geometry of supersingular elliptic curves; Fourier coefficients; Eisenstein series; Hilbert modular group; local heights; Heegner points
UR - http://eudml.org/doc/152694
ER -

Citations in EuDML Documents

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  1. Noam D. Elkies, Supersingular primes for elliptic curves over real number fields
  2. Vincent Fleckinger, Monogénéité de l'anneau des entiers de certains corps de classes de rayon
  3. Maxim Kontsevich, Product formulas for modular forms on O ( 2 , n )
  4. David R. Dorman, On singular moduli for rank 2 Drinfeld modules
  5. Kristin Lauter, Bianca Viray, Denominators of Igusa class polynomials
  6. Steven D. Galbraith, Rational points on X 0 + ( N ) and quadratic ℚ -curves
  7. Eyal Z. Goren, Kristin E. Lauter, Class Invariants for Quartic CM Fields
  8. Jeffrey C. Lagarias, Kannan Soundararajan, Smooth solutions to the a b c equation: the x y z Conjecture
  9. Ben Kane, CM liftings of supersingular elliptic curves
  10. Reinhard Schertz, Problèmes de construction en multiplication complexe

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