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http://dx.doi.org/10.14403/jcms.2013.26.1.213

GALOIS ACTIONS OF A CLASS INVARIANT OVER QUADRATIC NUMBER FIELDS WITH DISCRIMINANT D≡64(mod72)  

Jeon, Daeyeol (Department of Mathematics Education Kongju National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.26, no.1, 2013 , pp. 213-219 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, we compute the Galois actions of a class invariant from a generalized Weber function $g_1$ over imaginary quadratic number fields with discriminant $D{\equiv}64(mod72)$.
Keywords
class invariants; Galois Actions; Weber functions;
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