1Department of Mathematics [Stanford] (Stanford University, School of Humanities and Sciences, building 380, Stanford, California 94305 - United States)
Stanford University (450 Serra Mall, Stanford, CA 94305-2004 - United States)
Abstract : This paper formulates some conjectures for the number of imaginary quadratic fields of a given class number. It establishes an asymptotic formula for the number of such fields with class number below $H$, and also shows that many fields have class numbers lying outside a very thin set.
https://hal.archives-ouvertes.fr/hal-01112054 Contributor : Ariane RollandConnect in order to contact the contributor Submitted on : Monday, February 2, 2015 - 11:11:53 AM Last modification on : Monday, March 28, 2022 - 8:14:08 AM Long-term archiving on: : Wednesday, May 27, 2015 - 3:26:27 PM
K Soundararajan. The number of imaginary quadratic fields with a given class number. Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2007, Volume 30 - 2007, pp.13-18. ⟨10.46298/hrj.2007.157⟩. ⟨hal-01112054⟩