Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-08T08:35:43.900Z Has data issue: false hasContentIssue false

SMALL ZEROS OF ADDITIVE FORMS IN ALGEBRAIC NUMBER FIELDS

Published online by Cambridge University Press:  01 May 1997

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

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
Copyright
© The London Mathematical Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)