A Survey of Problems in Combinatorial Number Theory

Publisher Summary This chapter presents a survey of problems in combinatorial number theory. The chapter discusses problems connected with Van der Waerden's and Szemeredi's theorem. Thus the chapter gives details only if there is some important new development. According to Alfred Brauer, Schur conjectured more than 50 years ago that divided the integers into two classes at least one of them contains arbitrarily long arithmetic progressions.