benchmarks.wiki / Public workspace

Omni-MATH / Find all the functions f:Z→Z satisfying the following property: if a, b and c are integers such that a+b+c=0, then f(a)+f(b)+f(c)=a²+b²+c². · Discussion

Discussing Find all the functions f:Z→Z satisfying the following property: if a, b and c are integers such that a+b+c=0, then f(a)+f(b)+f(c)=a²+b²+c². · Omni-MATH

Posts

Chronological order within this page.

Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.