On a binary system of Prendiville

Autores: Shaoming Guo
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 64, Nº 1, 2020, págs. 255-281
Idioma: inglés
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Resumen
- We prove sharp decoupling inequalities for a class of two dimensional non-degenerate surfaces in R5, introduced by Prendiville [13]. As a consequence, we obtain sharp bounds on the number of integer solutions of the Diophantine systems associated with these surfaces.