Abstract
Consider a form g(x (1),...,x (s) ) of degree d, having coefficients in the completion of the field of fractions associated to the finite field . We establish that whenever s > d (2), then the form g takes arbitrarily small values for non-zero arguments . We provide related results for problems involving distribution modulo , and analogous conclusions for quasi-algebraically closed fields in general.
Original language | English |
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Pages (from-to) | 721-738 |
Number of pages | 18 |
Journal | Israel Journal of Mathematics |
Volume | 191 |
Issue number | 2 |
DOIs | |
Publication status | Published - Oct 2012 |
Keywords
- CUBIC EQUATIONS
- THEOREM