Note on Tamagawa numbers of tori attached to CM algebras

Abstract

We prove that any integer power of $2$ can be realized as the Tamagawa number of a torus attached to a CM algebra considered by Guo Sheu Yu and Liang Yang Yu. Such a result is obtained by Liang Yang Yu under assuming "a generalized Landau conjecture". The main contribution of this paper is to remove the above assumption.

arXiv commentThis article was superseded by arXiv:2109.04121