Let be a subset of containing no arithmetic progressions. Then one of the following seven must hold :

(1) .

(2) .

(3) for any .

(4) for any .

(5) for any .

(6) for any .

(7) for any .

Advertisements

Just another WordPress.com weblog

Let be a subset of containing no arithmetic progressions. Then one of the following seven must hold :

(1) .

(2) .

(3) for any .

(4) for any .

(5) for any .

(6) for any .

(7) for any .

Advertisements