Diophantine equations and congruences over function fields

Yudovina, Elena

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

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.

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