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SMALL ZEROS OF ADDITIVE FORMS IN ALGEBRAIC NUMBER FIELDS

Published online by Cambridge University Press:  01 May 1997

J. S. HWANG
J. S. HWANG
Affiliation:
Institute of Mathematics, Academia Sinica, Taipei, Taiwan 11529, Republic of China
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Abstract

1. Introduction

The classical circle method of Hardy and Littlewood (see Baker [1]) ensures that the diophantine equation

a1xk1+[ctdot ]+ asxks =0 (1.1)

has a nontrivial solution in nonnegative integers x1, [ctdot ], xs, provided s[ges ]C(k) and the coefficients a1, [ctdot ], as are all integers and not all the same sign.

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 3 , May 1997 , pp. 295 - 298
Copyright
© The London Mathematical Society 1997

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