Exceptional Sets for Diophantine Inequalities
Copyright policy )Exceptional Sets for Diophantine Inequalities
We apply Freeman's variant of the Davenport-Heilbronn method to investigate the exceptional set of real numbers not close to some value of a given real diagonal form at an integral argument. Under appropriate conditions, we show that the exceptional set in the interval [-N,N] has measure O(N^{1-c}), for a positive number c.
- University of Bristol United Kingdom
- West Chester University United States
ASYMPTOTIC FORMULAS, QUADRATIC-FORMS, SMALLER EXPONENTS, WARINGS PROBLEM, HIGHER POWERS, Mathematics - Number Theory, ADDITIVE REPRESENTATION, LATTICE POINT PROBLEMS, 11D75, 510, 004, MEAN-VALUE THEOREM, FOS: Mathematics, THIN SEQUENCES, Number Theory (math.NT), SMOOTH WEYL SUMS
ASYMPTOTIC FORMULAS, QUADRATIC-FORMS, SMALLER EXPONENTS, WARINGS PROBLEM, HIGHER POWERS, Mathematics - Number Theory, ADDITIVE REPRESENTATION, LATTICE POINT PROBLEMS, 11D75, 510, 004, MEAN-VALUE THEOREM, FOS: Mathematics, THIN SEQUENCES, Number Theory (math.NT), SMOOTH WEYL SUMS
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