We consider systems of quadratic diophantine inequlities. For example, suppose that Q 1 and Q 2 are real diagonal quadratic forms in s variables, where one has s 10. Suppose also that every form :Q 1 +;Q 2 with (:, ;) # R 2 "[0] has at least 5 nonzero coefficients, one irrational coefficient, at lea
✦ LIBER ✦
Proportionally modular diophantine inequalities
✍ Scribed by J.C. Rosales; P.A. Garcı́a-Sánchez; J.I. Garcı́a-Garcı́a; J.M. Urbano-Blanco
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 260 KB
- Volume
- 103
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
✦ Synopsis
We study the sets of nonnegative solutions of Diophantine inequalities of the form ax mod bpcx with a; b and c positive integers. These sets are numerical semigroups, which we study and characterize.
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