Sum of three squares and class numbers of imaginary quadratic fields

作者：Cho Peter Jaehyun^*

来源：Proceedings of the Japan Academy Series A-Mathematical Sciences, 2011, 87(6): 91-94.

DOI：10.3792/pjaa.87.91

• Sum of three squares
• class number
• imaginary quadratic field
• arithmetic progression

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. Key

• 出版日期2011-6