On Hasse's Unit Index

Djordjo Z. Milovic

On Hasse's Unit Index

Number Theory 2020-01-22 v1

Authors: Djordjo Z. Milovic

Abstract

We study the distribution of Hasse's unit index $Q(L)$ for the CM-fields $L = \mathbb{Q}(\sqrt{d}, \sqrt{-1})$ as $d$ varies among positive squarefree integers. We prove that the number of $d\leq X$ such that $Q(L) = 2$ is proportional to $X/\sqrt{\log X}$ .

Cite

@article{arxiv.2001.07213,
  title  = {On Hasse's Unit Index},
  author = {Djordjo Z. Milovic},
  journal= {arXiv preprint arXiv:2001.07213},
  year   = {2020}
}

Comments

11 pages

Related papers

View all related →