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CUBIC FORMS MODULO ONE

Published online by Cambridge University Press:  02 February 2004

RAINER DIETMANN
RAINER DIETMANN
Affiliation:
Institut für Algebra und Zahlentheorie, Pfaffenwaldring 57, D-70550 Stuttgart, Germanydietmarr@mathematik.uni-stuttgart.de
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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.

Keywords

11D7511E7611J54
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 2 , March 2004 , pp. 198 - 204
Copyright
© The London Mathematical Society 2004

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