Class numbers of quadratic fields, Hasse
β
John Brillhart; Patrick Morton
π
Article
π
2004
π
Elsevier Science
π
English
β 389 KB
Using the theory of elliptic curves, we show that the class number hΓ°ΓpΓ of the field QΓ° ffiffiffiffiffiffi ffi Γp p Γ appears in the count of certain factors of the Legendre polynomials P m Γ°xΓ Γ°mod pΓ; where p is a prime 43 and m has the form Γ°p Γ eΓ=k; with k ΒΌ 2; 3 or 4 and p e Γ°mod kΓ: As part