Diophantine equations and congruences over function fields

Elena Yudovina

doi:10.1090/S0002-9939-08-09363-5

Diophantine equations and congruences over function fields

Elena Yudovina

Research output: Contribution to journal › Article › peer-review

Abstract

We generalize the methods of Pierce for counting solutions to the congruence X^a ≡ Y^b mod D and the square sieve method for counting squares in the sequence f (X)+ g(Y) to the function field setting.

Original language	English (US)
Pages (from-to)	3839-3850
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	136
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9939-08-09363-5
State	Published - Nov 2008
Externally published	Yes

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10.1090/S0002-9939-08-09363-5

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abstract = "We generalize the methods of Pierce for counting solutions to the congruence Xa ≡ Yb mod 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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Diophantine equations and congruences over function fields

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