On a binary system of Prendiville
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.
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:218572 |
| Acceso en línea: | https://ddd.uab.cat/record/218572 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6412011 |
| Access Level: | acceso abierto |
| Palabra clave: | Decoupling Transversality Brascamp-lieb inequalities Diophantine systems |
| Sumario: | 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. |
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