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CUBIC FORMS MODULO ONE

Published online by Cambridge University Press:  02 February 2004

RAINER DIETMANN
Affiliation:
Institut für Algebra und Zahlentheorie, Pfaffenwaldring 57, D-70550 Stuttgart, [email protected]
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Abstract

By using a more efficient way of ‘almost diagonalizing’, known results on small fractional parts of general real cubic forms in a small number of variables, are improved. In particular, for ternary forms the method gives a bound superior to that arising from simply reducing to a cubic form in one variable.

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Type
Papers
Copyright
© The London Mathematical Society 2004

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