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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Class number computations of real abelian number fields
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by F. J. van der Linden PDF
Math. Comp. 39 (1982), 693-707 Request permission

Abstract:

In this paper we describe the calculation of the class numbers of most real abelian number fields of conductor $\leqslant 200$. The technique is due to J. M. Masley and makes use of discriminant bounds of A. M. Odlyzko. In several cases we have to assume the generalized Riemann hypothesis.
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Math. Comp. 39 (1982), 693-707
  • MSC: Primary 12A50; Secondary 12A35
  • DOI: https://doi.org/10.1090/S0025-5718-1982-0669662-5
  • MathSciNet review: 669662