Corpus ID: 230517245

Representation of the norm of ideals by quadratic forms with congruence conditions

@inproceedings{Koda2020RepresentationOT,
  title={Representation of the norm of ideals by quadratic forms with congruence conditions},
  author={Genki Koda},
  year={2020}
}
Using a correspondence between the narrow ray class group modulo m of a quadratic field and a certain set of equivalence classes of binary quadratic forms proved by Furuta and Kubota, we find a quadratic form f and a pair of integers (x1, y1) such that the norm of all integral ideals a in a ray class is represented by f(mx+ x1,my + y1) with some integers (x, y). AMS 2010 Mathematics Subject Classification. 11E25, 11R37, 11R65. 

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