Small class numbers and extreme values of $L$-functions of quadratic fields
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- by Duncan A. Buell PDF
- Math. Comp. 31 (1977), 786-796 Request permission
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.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Math. Comp. 31 (1977), 786-796
- MSC: Primary 12A25; Secondary 12A30, 12A70, 12-04
- DOI: https://doi.org/10.1090/S0025-5718-1977-0439802-X
- MathSciNet review: 0439802