IJPAM: Volume 36, No. 3 (2007)
ADDENDUM TO: ``BLOCKS OF CONSECUTIVE INTEGERS
IN SUMSETS
''
IN SUMSETS

Shu-Guang Guo
Department of Mathematics
Yancheng Teachers College
Yancheng, Jiangsu, 224002, P.R. CHINA
e-mail: ychgsg@yahoo.com.cn
Department of Mathematics
Yancheng Teachers College
Yancheng, Jiangsu, 224002, P.R. CHINA
e-mail: ychgsg@yahoo.com.cn
Abstract.Let
For
let
be the cardinality of the set
of ordered pairs
such that
For
denote by
the set of the elements
for
which
Recently Guo and Chen proved that for any
subsets
such that
the sumset
contains a block of consecutive
integers with the length at least
unless
and
In
this paper we give an addendum to this result by dealing with the
case when
Received: May 30, 2006
AMS Subject Classification: 11B75, 05D05
Key Words and Phrases: additive number theory, sumsets, restricted sumsets
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 36
Issue: 3