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http://dx.doi.org/10.14403/jcms.2011.24.4.28

GALOIS ACTIONS OF A CLASS INVARIANT OVER QUADRATIC NUMBER FIELDS WITH DISCRIMINANT D ≡ 21 (mod 36)

Jeon, Daeyeol (Department of Mathematics Education Kongju National University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.24, no.4, 2011 , pp. 921-925 More about this Journal

Abstract

A class invariant is the value of a modular function that generates a ring class field of an imaginary quadratic number field such as the singular moduli of level 1. In this paper, using Shimura Reciprocity Law, we compute the Galois actions of a class invariant from a generalized Weber function $g_2$ over quadratic number fields with discriminant $D{\equiv}21$ (mod 36).

Keywords

class invariants; Galois Actions; Weber Functions;

Citations & Related Records

Reference

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