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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 by Bryan Birch and named after Kurt Heegner, who used similar ideas to prove Gauss's conjecture on imaginary quadratic fields of class number one.
In mathematics, a Heegnerpoint is a point on a modular curve that is the image of a quadratic imaginary point of the upper half-plane. They were defined...
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...
equilibrium point Ideal point Inflection point Integral point Isolated point Generic pointHeegnerpoint Lattice hole, Lattice point Lebesgue point Midpoint...
L-series of an elliptic curve evaluated at 1 to the height of a certain Heegnerpoint. This theorem has some applications, including implying cases of the...
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...
integer: for example, j(Z[i]) = j(i) = 1728. Algebraic Hecke character Heegnerpoint Hilbert's twelfth problem Lubin–Tate formal group, local fields Drinfeld...
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...
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...
musician, audio engineer and lead singer of the band Information Society Kurt Heegner (1893–1965), German mathematician Kurt Hensel (1861–1941), German mathematician...
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...
explanation for this phenomenon led to the deep algebraic number theory of Heegner numbers and the class number problem. The Hardy–Littlewood conjecture F...
first pair of sexy primes with 11, which is the fifth prime number and Heegner number, as well as the first repunit prime in decimal; a base in-which...
case for most others here). It is a consequence of the fact that 163 is a Heegner number. There are several integers k = 2198 , 422151 , 614552 , 2508952...
Maass form to E . The simultaneous generating series for the values on Heegner divisors and integrals along geodesic cycles of Klein's J-function (normalized...
quadratic fields with class number 1 is complete, though Baker, Stark and Heegner later gave unconditional proofs of this without using the generalized Riemann...
{\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...
collaborated with Norbert Schappacher on elucidating the biography of Kurt Heegner. In 1984 Patterson received the Whitehead Prize of the London Mathematical...
multiplication[citation needed], Fermat's Last Theorem, and the Stark–Heegner theorem on imaginary quadratic number fields of class number one; see (Levy...
less than 10,000". arXiv:2106.07373 [math.NT]. Paul Monsky (1990), "Mock Heegner Points and Congruent Numbers", Mathematische Zeitschrift, 204 (1): 45–67...
and Thomas in 1974. Class numbers of imaginary quadratic fields. In 1952 Heegner published a solution to this problem. His paper was not accepted as a complete...
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