Kronecker's congruence
From HandWiki
Short description: Theorem on a polynomial involving the elliptic modular function
In mathematics, Kronecker's congruence, introduced by Kronecker, states that
where p is a prime and Φp(x,y) is the modular polynomial of order p, given by
for j the elliptic modular function and τ running through classes of imaginary quadratic integers of discriminant n.
References
- Lang, Serge (1987), Elliptic functions, Graduate Texts in Mathematics, 112 (2nd ed.), Berlin, New York: Springer-Verlag, ISBN 978-0-387-96508-6
![]() | Original source: https://en.wikipedia.org/wiki/Kronecker's congruence.
Read more |