arXiv Analytics

Sign in

arXiv:2206.12345 [math.NT]AbstractReferencesReviewsResources

Some dynamics in real quadratic fields with applications to Euclidean minima

Nick Ramsey

Published 2022-06-24Version 1

By studying a dynamical system attached to a real quadratic field $K$, we prove that the elements of $K$ in the Euclidean spectrum are dense in this spectrum. In particular, all isolated Euclidean minima lie in $K$.

Comments: 9 pages, 3 figures
Categories: math.NT
Subjects: 11H50, 11H55, 11R04, 11R11, 37B10
Related articles: Most relevant | Search more
arXiv:0704.1397 [math.NT] (Published 2007-04-11)
The p-adic generalized twisted (h,q)-euler-l-function and its applications
arXiv:1207.0404 [math.NT] (Published 2012-06-29, updated 2014-07-31)
Tangent power sums and their applications
arXiv:math/0112137 [math.NT] (Published 2001-12-13, updated 2006-05-04)
Expansions of Theta Functions and Applications

Links

Toolbox