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On the divisibility of class numbers and...
Lim, Meng Fai...

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On the divisibility of class numbers and discriminants of imaginary quadratic fields by Lim, Meng Fai ( Author )
Lemonjar Open Access
N.A
02-08-2023
Let $n$ be a squarefree positive odd integer. We will show that there exist infinitely many imaginary quadratic number fields with discriminant divisible by $n$ and-at the same time-having an element of order $n$ in the class group. We then apply our result to prove that for a given squarefree positive odd integer $n$ there exist infinitely many $N$ such that $n$ divides both $N$ and $r(N)$, where $r(N)$ is the representation number of $N$ as sums of three squares.
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Article
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37.08 KB
English
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MYR 0.01
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http://arxiv.org/abs/1601.05180
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