Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772678 | Journal of Number Theory | 2017 | 11 Pages |
Abstract
We construct a new infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five. Let n be a positive integer that satisfy nâ¡Â±3(mod500) and nâ¢0(mod3). We prove that 5 divides the class numbers of both Q(2âFn) and Q(5(2âFn)), where Fn is the nth Fibonacci number.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Miho Aoki, Yasuhiro Kishi,