Exponential sums, number of solutions of algebraic equations, and poincaré series

Definitions of Gauss and Ramanujan sums over the algebras A and Lv are given, and their main properties are proved. Using these results an analogous of an old result of Libri on the number of solutions of algebraic equations with integral coecients modulo a prime power is obtained, and then used to...

Full description

Autores:
Albis González, Víctor Samuel
Carvajal, Edilmo
Tipo de recurso:
Article of journal
Fecha de publicación:
2010
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/73786
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/73786
http://bdigital.unal.edu.co/38263/
Palabra clave:
Gauss sums
Ramanujan sums
number of solutions of algebraic equations over
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional