Systems of quadratic diophantine inequalities
Copyright policy ) Müller, Wolfgang;
Systems of quadratic diophantine inequalities
Let Q 1 , ⋯ , Q r be quadratic forms with real coefficients. We prove that for any ϵ > 0 the system of inequalities | Q 1 ( x ) | < ϵ , ⋯ , | Q r ( x ) | < ϵ has a nonzero integer solution, provided that the system Q 1 ( x ) = 0 , ⋯ , Q r ( x ) = 0 has a nonsingular real solution and all forms in the real pencil generated by Q 1 , ⋯ , Q r are irrational and have rank > 8 r .
Diophantine inequalities, sieve method, quadratic forms
Diophantine inequalities, sieve method, quadratic forms
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selected citations
Citations provided by BIP!
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 6
Average
Top 10%
Average
gold
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