Heegner points are special points on elliptic curves
The Stark–Heegner theorem identifies the imaginary quadratic fields of class number 1.
A Heegner number is a number n such that Q(√−n) is an imaginary quadratic field of class number 1.
Topics referred to by the same term
This disambiguation page lists articles associated with the title Heegner. If an internal link led you here, you may wish to change the link to point directly to the intended article.
In number theory, a Heegner number (as termed by Conway and Guy) is a square-free positive integer d such that the imaginary quadratic field Q [ − d ]...
and, in particular, the Stark–Heegner theorem. Heegner was born and died in Berlin. In 1952, he published the Stark–Heegner theorem which he claimed was...
Kurt Heegner was a German mathematician Heegner points are special points on elliptic curves The Stark–Heegner theorem identifies the imaginary quadratic...
In mathematics, a Heegner point is a point on a modular curve that is the image of a quadratic imaginary point of the upper half-plane. They were defined...
L-series of an elliptic curve evaluated at 1 to the height of a certain Heegner point. This theorem has some applications, including implying cases of...
Stark and Bryan Birch (e.g. on the Stark–Heegner theorem and Heegner number) was the position clarified and Heegner's work understood. Practically simultaneously...
indexed by fields. They were introduced by Kolyvagin (1990) in his work on Heegner points on modular elliptic curves, which was motivated by his earlier paper...
congruent to 2 modulo 3, but no lucky numbers are congruent to 2 modulo 3. Heegner number List of topics named after Leonhard Euler Formula for primes Ulam...
problem, in effect correcting and completing the earlier work of Kurt Heegner, and for Stark's conjecture. More recently, he collaborated with Audrey...
Mersenne safe prime), a Leyland prime of the second kind and the fourth Heegner number. Seven is the lowest natural number that cannot be represented as...
Theorem Class number problem for imaginary quadratic fields Stark–Heegner theorem Heegner number Langlands program Different ideal Dedekind domain Splitting...
conjecture). He then formulated ideas on the role of Heegner points (he was one of those reconsidering Kurt Heegner's original work on the class number one problem...
explanation for this phenomenon led to the deep algebraic number theory of Heegner numbers and the class number problem. The Hardy–Littlewood conjecture F...
and proven by Kurt Heegner, although Heegner's proof was not believed until Harold Stark gave a later proof in 1967. (See Stark–Heegner theorem.) This is...
{\sqrt {58}}}=396^{4}-104.000000177\dots .} This might be compared to Heegner numbers, which have class number 1 and yield similar formulae. Ramanujan's...
Eisenstein–Kronecker number Genus character Heegner number Infrastructure (number theory) Quadratic integer Quadratic irrational Stark–Heegner theorem Dedekind zeta function...
restricting physician self-referrals Stark Museum of Art, in eastern Texas Stark–Heegner theorem, in algebra TAC Stark, a Brazilian vehicle USS Stark, a former...
implicitly quadratic, and the class number; this polynomial is related to the Heegner number 163 = 4 ⋅ 41 − 1 {\displaystyle 163=4\cdot 41-1} . There are analogous...
particular, Dasgupta's research has focused on the Stark conjectures and Heegner points. In 2009, Dasgupta received a Sloan Research Fellowship. He was...
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