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RESTRICTED ADDITION IN ${\bb Z}/n {\bb Z}$ AND AN APPLICATION TO THE ERDŐS–GINZBURG–ZIV PROBLEM
Some elementary results are given on restricted sums $2^{\wedge}{\cal A}$ and $3^{\wedge}{\cal A}$ of a subset ${\cal A}\subset {\bb Z}/n{\bb Z}$ in the case when the cardinality of ${\cal A}$ , is close to $n/2$ . In the last section, some of these results are used to derive some new values of a fu...
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Published in: | Journal of the London Mathematical Society 2002-06, Vol.65 (3), p.513-523 |
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Main Authors: | , , , , , |
Format: | Article |
Language: | English |
Online Access: | Get full text |
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Summary: | Some elementary results are given on restricted sums
$2^{\wedge}{\cal A}$
and
$3^{\wedge}{\cal A}$
of a subset
${\cal A}\subset {\bb Z}/n{\bb Z}$
in the case when the cardinality of
${\cal A}$
, is close to
$n/2$
. In the last section, some of these results are used to derive some new values of a function related to the Erdős–Ginzburg–Ziv problem. |
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ISSN: | 0024-6107 1469-7750 |
DOI: | 10.1112/S0024610701003040 |