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Diophantine equations and congruences over function fields

Author: Elena Yudovina
Journal: Proc. Amer. Math. Soc. 136 (2008), 3839-3850
MSC (2000): Primary 11D45
Published electronically: June 3, 2008
MathSciNet review: 2425723
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Abstract | References | Similar Articles | Additional Information

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

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
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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