Congruence function fields of genus 𝑔 and class number 𝑔+1

Leitzel, James R. C.

doi:10.1090/S0002-9939-1977-0437503-7

Congruence function fields of genus $g$ and class number $g+1$
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by James R. C. Leitzel

Proc. Amer. Math. Soc. 64 (1977), 20-24

DOI: https://doi.org/10.1090/S0002-9939-1977-0437503-7

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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.

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