On real quadratic function fields

of Chowla type with ideal class number one

Authors:
Keqin Feng and Weiqun Hu

Journal:
Proc. Amer. Math. Soc. **127** (1999), 1301-1307

MSC (1991):
Primary 11R11, 11R29

DOI:
https://doi.org/10.1090/S0002-9939-99-05004-2

Published electronically:
January 27, 1999

MathSciNet review:
1622805

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be the finite field with elements, (2), , where is a square-free polynomial in with and . In this paper several equivalent conditions for the ideal class number to be one are presented and all such quadratic function fields with are determined.

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Additional Information

**Keqin Feng**

Affiliation:
Graduate School at Beijing, University of Science and Technology of China, P. O. Box 3908, Beijing 100039, People’s Republic of China

**Weiqun Hu**

Affiliation:
The Fundamental Science Department, Nanjing Agriculture College, Nanjing 210038, People’s Republic of China

DOI:
https://doi.org/10.1090/S0002-9939-99-05004-2

Keywords:
Quadradic field,
function field,
class number

Received by editor(s):
August 20, 1997

Published electronically:
January 27, 1999

Additional Notes:
Research supported by the Natural Science Foundation and the National Educational Committee of China.

Communicated by:
David E. Rohrlich

Article copyright:
© Copyright 1999
American Mathematical Society