Siegel-Ramachandra invariants generate ray class fields

초록

Let f be a modulus in an imaginary quadratic field K, and C a ray class mod f. We denote by g(f)(C) the Siegel-Ramachandra invariant. Suppose that, roughly speaking, f is sufficiently large. Then we will show that K(g(f)(C)) is the ray class field of modulus f. (C) 2012 Elsevier Inc. All rights reserved.

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