The Heegner hypothesis for a positive integer 
and an imaginary
quadratic field 
whose discriminant is coprime to 
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 FieldExplore 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