Photo by nickkarvounis from unsplash
Abstract Let L be an extended ring class field of an imaginary quadratic field K other than Q ( − 1 ) and Q ( − 3 ) . We… Click to show full abstract
Abstract Let L be an extended ring class field of an imaginary quadratic field K other than Q ( − 1 ) and Q ( − 3 ) . We show that there is a form class group induced from a congruence subgroup which describes the Galois group of L over K in a concrete way. We also construct a primitive generator of L over K as a real algebraic integer which can be applied to certain quadratic Diophantine equations.
Keywords:
form class;
groups extended;
ring class;
class;
class groups;
extended ring
Journal Title: Journal of Number Theory
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Number Theory
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!