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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Diophantine equations and congruences over function fields
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by Elena Yudovina PDF
Proc. Amer. Math. Soc. 136 (2008), 3839-3850 Request permission

Abstract:

We generalize the methods of Pierce for counting solutions to the congruence $X^a \equiv Y^b \bmod D$ and the square sieve method for counting squares in the sequence $f(X) + g(Y)$ to the function field setting.
References
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Additional Information
  • Elena Yudovina
  • Affiliation: Department of Mathematics, FAS, Harvard University, One Oxford Street, Cambridge, Massachusetts 02138
  • Received by editor(s): July 25, 2007
  • Received by editor(s) in revised form: October 2, 2007
  • Published electronically: June 3, 2008
  • Communicated by: Ken Ono
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 3839-3850
  • MSC (2000): Primary 11D45
  • DOI: https://doi.org/10.1090/S0002-9939-08-09363-5
  • MathSciNet review: 2425723