Equivalent proportionally modular Diophantine inequalities |
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| Authors: | Aureliano M Robles-Pérez José Carlos Rosales |
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| Institution: | (1) Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, E-1 18071 Granada, Spain;(2) Departamento de álgebra, Facultad de Ciencias, Universidad de Granada, E-1 18071 Granada, Spain |
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| Abstract: | We study Diophantine inequalities of the form ax mod b ≤ cx. In particular, we prove that there exists a positive integer  such that for every integer n ≥ N there exist a′, c′ (positive integers dependent of n) such that a′
x mod n ≤ c′
x has the same solutions as the above inequality.
Received: 23 March 2007 |
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| Keywords: | Primary 20M14 11D75 Secondary 13H10 |
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