Diophantine Inequalities for Forms

Wang Yuan
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Wang Yuan: Academia Sinica, Institute of Mathematics

Chapter Chapter 11 in Diophantine Equations and Inequalities in Algebraic Number Fields, 1991, pp 140-162 from Springer

Abstract: Abstract A form F(λ) of degree k can be written as $$ F\left( \lambda \right) = \mathop{\sum }\limits_{{1 \leqslant {{i}_{1}}, \ldots ,{{i}_{k}} \leqslant s}} a\left( {{{i}_{1}}, \ldots ,{{i}_{k}}} \right){{\lambda }_{{{{i}_{l}}}}} \cdots {{\lambda }_{{{{i}_{k}}}}} $$ we associate the multilinear form $$ \hat F\left( \lambda \right) = \sum\limits_{1 \leqslant {i_1}, \ldots {i_k} \leqslant s} {a\left( {{i_{1, \ldots ,{i_k}}}} \right){\lambda _{{i_1}}} \ldots {\lambda _{{i_k}}}} $$

Date: 1991
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DOI: 10.1007/978-3-642-58171-7_11

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