MathDB

Erdős Problem #991 — Discrepancy of maximum-product points on the sphere

About 62 years old · traced to

Choose nn points w1,…,wnw_1,…,w_n on the unit sphere to maximize ∏i<j∣wi−wj∣∏_{i<j}|w_i-w_j|. Is their spherical-cap discrepancy o(n)o(n)?

References

Primary source

P. Erdős, Problems and results on diophantine approximations, Compositio Mathematica 16 (1964), 52–65.

Additional references

P. Erdős, Problems and results on diophantine approximations, Compositio Mathematica 16 (1964), 52–65.

discrepancy
InErdős Problems
Posted

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.