Kronecker’s solution of Pell’s equation for CM fields
Kronecker’s solution of Pell’s equation for CM fields
We generalize Kronecker’s solution of Pell’s equation to CM fields K whose Galois group over ℚ is an elementary abelian 2-group. This is an identity which relates CM values of a certain Hilbert modular function to products of logarithms of fundamental units. When K is imaginary quadratic, these CM values …