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Proceedings of the American Mathematical Society

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

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Congruence function fields of genus $g$ and class number $g+1$
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by James R. C. Leitzel PDF
Proc. Amer. Math. Soc. 64 (1977), 20-24 Request permission

Abstract:

Congruence function fields of genus g and class number $g + 1$ are fully classified. As an application we determine explicitly the real quadratic function fields with this property and of odd characteristic for which the ring of integers is a unique factorization domain.
References
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 64 (1977), 20-24
  • MSC: Primary 12A90; Secondary 12A50
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0437503-7
  • MathSciNet review: 0437503