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Cho, Peter J.
Lab for L-functions and arithmetic
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Sum of three squares and class numbers of imaginary quadratic fields

Author(s)
Cho, Peter J.
Issued Date
2011-06
DOI
10.3792/pjaa.87.91
URI
https://scholarworks.unist.ac.kr/handle/201301/19828
Fulltext
http://projecteuclid.org/euclid.pja/1306934064
Citation
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, v.87, no.6, pp.91 - 94
Abstract
For a positive integer k and a certain arithmetic progression A, there exist infinitely many quadratic fields Q(root-d) whose class numbers are divisible by k and d is an element of A. From this, we have a linear congruence of the representation numbers of integers as sums of three squares.
Publisher
JAPAN ACAD
ISSN
0386-2194

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