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Integers of the form x(2) + n y(2)
- Authors
- Cho, Bumkyu
- Issue Date
- Jun-2014
- Publisher
- SPRINGER WIEN
- Keywords
- Sums of squares; Class field theory; Class numbers; Modular functions
- Citation
- MONATSHEFTE FUR MATHEMATIK, v.174, no.2, pp 195 - 204
- Pages
- 10
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- MONATSHEFTE FUR MATHEMATIK
- Volume
- 174
- Number
- 2
- Start Page
- 195
- End Page
- 204
- ISSN
- 0026-9255
1436-5081
- Abstract
- We provide a characterization of integers of the form described in the title in the context of class field theory. A more down-to-earth characterization is given when the extended class number is 1, 2, or 3. For completeness we present a formula for the extended class number. Some examples are also given.
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Related Researcher
- Cho, Bum Kyu
- College of Natural Science (Department of Mathematics)