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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Exponents of class groups of real quadratic function fields (II)
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by Kalyan Chakraborty and Anirban Mukhopadhyay
Proc. Amer. Math. Soc. 134 (2006), 51-54
DOI: https://doi.org/10.1090/S0002-9939-05-07953-0
Published electronically: June 13, 2005

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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Bibliographic 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