Let 
be a positive integer and let 
be an imaginary quadratic
field whose discriminant is coprime to 
. The Heegner hypothesis is the condition that every prime
dividing 
splits in 
.
It guarantees the existence of Heegner points on
.
Heegner Hypothesis
See also
Heegner Point, Imaginary Quadratic Field, Modular GroupExplore with Wolfram|Alpha
References
Gross, B. H. and Zagier, D. B. "Heegner Points and Derivatives of
-Series."
Invent. Math. 84, 225-320, 1986. https://doi.org/10.1007/BF01388809.
Cite this as:
Weisstein, Eric W. "Heegner Hypothesis." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HeegnerHypothesis.html