Erdős Problem #988 — Spherical-cap discrepancy must grow

About 62 years old · traced to

For an nn-point set PP on the unit sphere, let D(P)D(P) be the maximum over spherical caps CC of ∣∣P∩C∣−αCn∣||P∩C|-α_Cn|, where αCα_C is the normalized area of CC. Does min⁡∣P∣=nD(P)→∞\min_{|P|=n}D(P)→∞?

References

Additional references

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

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.