Exponents of class groups of real quadratic function fields
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- by Kalyan Chakraborty and Anirban Mukhopadhyay PDF
- Proc. Amer. Math. Soc. 132 (2004), 1951-1955 Request permission
Abstract:
We show that there are $\gg q^{l/(2g)}$ polynomials $D\in \mathbb {F}_q[t]$ with $\deg (D)\le l$ such that the ideal class group of the real quadratic extensions $\mathbb {F}_q(t,\sqrt D)$ has an element of order $g$.References
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Additional Information
- Kalyan Chakraborty
- Affiliation: Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211 019, India
- Email: kalyan@mri.ernet.in
- Anirban Mukhopadhyay
- Affiliation: Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211 019, India
- Address at time of publication: The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India
- Email: anirban@mri.ernet.in, anirban@imsc.res.in
- Received by editor(s): September 4, 2002
- Received by editor(s) in revised form: April 21, 2003
- Published electronically: February 18, 2004
- Communicated by: Wen-Ching Winnie Li
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 1951-1955
- MSC (2000): Primary 11R58; Secondary 11R29
- DOI: https://doi.org/10.1090/S0002-9939-04-07269-7
- MathSciNet review: 2053965