Mathematics

Identities generated from the genus theory of real quadratic fields

  • SHEN Li-chien
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  • Department of Mathematics, University of Florida, Gainesville FL 32611-8105, USA

Received date: 2018-10-26

  Online published: 2019-11-26

Abstract

Applying the genus theory of Gauss on the real quadratic fields, we derive identities involving quadratic forms and genus characters.

Cite this article

SHEN Li-chien . Identities generated from the genus theory of real quadratic fields[J]. Journal of East China Normal University(Natural Science), 2019 , 2019(6) : 7 -20 . DOI: 10.3969/j.issn.1000-5641.2019.06.002

References

[1] SIEGEL C L. Lectures on Advanced Number Theory[M]. Mumbai:Tata Institute, 1961.
[2] COHN H. Advanced Number Theory[M]. New York:Dover, 1980.
[3] SHEN L C. On separation of quadratic forms on the imaginary quadratic field in its Hilbert class fields[J]. Proceedings of the American Mathematical Society, 2008, 136(9):3061-3067.
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