Integers of the form x(2) + n y(2)

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5

초록

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.

키워드

Sums of squaresClass field theoryClass numbersModular functions
제목
Integers of the form x(2) + n y(2)
저자
Cho, Bumkyu
DOI
10.1007/s00605-013-0531-0
발행일
2014-06
유형
Article
저널명
Monatshefte für Mathematik
174
2
페이지
195 ~ 204