Exponents of class groups of real quadratic function fields (II)
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- by Kalyan Chakraborty and Anirban Mukhopadhyay PDF
- Proc. Amer. Math. Soc. 134 (2006), 51-54 Request permission
Abstract:
Let $g$ be an even positive integer. We show that there are $\gg q^{l/g}/l^2$ polynomials $D\in \mathbb F_q[t]$ with $\deg (D)\le l$ such that the ideal class group of the real quadratic extensions $\mathbb F_q(t,\sqrt D)$ have 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: Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600 113, India
- Email: anirban@imsc.res.in
- Received by editor(s): March 26, 2004
- Received by editor(s) in revised form: August 27, 2004
- Published electronically: June 13, 2005
- Communicated by: Wen-Ching Winnie Li
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 51-54
- MSC (2000): Primary 11R58; Secondary 11R29
- DOI: https://doi.org/10.1090/S0002-9939-05-07953-0
- MathSciNet review: 2170542