Geodesic
Congruences in two unknowns
Izvestiya. Mathematics , Tome 6 (1972) no. 4, pp. 677-704.

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The paper investigates the number $I_p$ of solutions of an algebraic congruence $F(x,y)\equiv0\pmod p$, where $p$ is a prime. Under certain conditions for the polynomial $F(x,y)$ the asymptotic formula $I_p=p+O(p^{1/2})$ is obtained by elementary methods. 
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     author = {S. A. Stepanov},
     title = {Congruences in two unknowns},
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S. A. Stepanov. Congruences in two unknowns. Izvestiya. Mathematics , Tome 6 (1972) no. 4, pp. 677-704. http://geodesic.mathdoc.fr/item/IM2_1972_6_4_a0/

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