Siegel-Ramachandra invariants generate ray class fields

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Abstract

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

Original languageEnglish
Pages (from-to)293-297
Number of pages5
JournalJournal of Mathematical Analysis and Applications
Volume401
Issue number1
DOIs
StatePublished - 1 May 2013

Keywords

  • Modular functions
  • Ray class fields

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