Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

Small Class Numbers and Extreme Values of $L$-Functions of Quadratic Fields

Duncan A. Buell
Mathematics of Computation
Vol. 31, No. 139 (Jul., 1977), pp. 786-796
DOI: 10.2307/2006012
Stable URL: http://www.jstor.org/stable/2006012
Page Count: 11
  • Read Online (Free)
  • Download ($34.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Small Class Numbers and Extreme Values of $L$-Functions of Quadratic Fields
Preview not available

Abstract

The table of class numbers $h$ of imaginary quadratic fields described in [1] was placed on magnetic tape. This tape was then processed to find the occurrences of $h \leqslant 125$ and to find the successive extreme values of the Dirichlet $L$-functions $L(1, \chi_{-D}), \chi_{-D}$ the Kronecker symbol of the field $Q(\sqrt{-D})$ of discriminant $- D$. A comparison was made between the observed extrema and the bounds obtained for the $L$-functions by Littlewood [5] assuming Riemann hypotheses.

Page Thumbnails

  • Thumbnail: Page 
786
    786
  • Thumbnail: Page 
787
    787
  • Thumbnail: Page 
788
    788
  • Thumbnail: Page 
789
    789
  • Thumbnail: Page 
790
    790
  • Thumbnail: Page 
791
    791
  • Thumbnail: Page 
792
    792
  • Thumbnail: Page 
793
    793
  • Thumbnail: Page 
794
    794
  • Thumbnail: Page 
795
    795
  • Thumbnail: Page 
796
    796