The Integers Conference 2007 was held October 24–27, 2007, at the University
of West Georgia in Carrollton, Georgia. This was the third Integers Conference,
held bi-annually since 2003.
It featured sixty-four invited talks including six plenary lectures presented
by George Andrews, Vitaly Bergelson, Bryna Kra, Florian Luca, Ken Ono, and
This volume consists of sixteen refereed articles, which are expanded and revised
versions of talks presented at the conference. These sixteen articles will
appear as a special volume of the journal Integers: Electronic Journal of Combinatorial
Number Theory. They represent a broad range of topics in the areas
of number theory and combinatorics including multiplicative number theory,
additive number theory, Ramsey theory, enumerative combinatorics, elementary
number theory, the theory of partitions, algebraic number theory, and integer sequences.
The conference was made possible with the generous support of the National
Science Foundation and the University ofWest Georgia. The Integers conferences
are organized by the Editors of Integers, which publishes articles in the field of
combinatorial number theory. The conferences are held in order to further support
and strengthen this growing field.