Mathematicians soon hypothesized that as your set gets bigger, the biggest sum-free subsets will get much larger than N /3.

Mathematicians soon hypothesized that as your set gets bigger, the biggest sum-free subsets will get much larger than N/3. In fact, the deviation will grow infinitely large. This prediction — that the ...

A long-standing puzzle seems to constrain how addition and multiplication relate to each other. A graduate student has gone further than anyone else in establishing the connection. In 1983 the ...