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Diophantine equations and congruences over function fields

Author(s): Elena Yudovina
Journal: Proc. Amer. Math. Soc. 136 (2008), 3839-3850.
MSC (2000): Primary 11D45
Posted: June 3, 2008
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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.

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Additional Information:

Elena Yudovina
Affiliation: Department of Mathematics, FAS, Harvard University, One Oxford Street, Cambridge, Massachusetts 02138

DOI: 10.1090/S0002-9939-08-09363-5
PII: S 0002-9939(08)09363-5
Received by editor(s): July 25, 2007,
Received by editor(s) in revised form: October 2, 2007
Posted: June 3, 2008
Communicated by: Ken Ono
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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