Erdős Problem #255 — An interval of unbounded discrepancy

About 62 years old · traced to

For every infinite sequence x1,x2,…x_1,x_2,… in [0,1][0,1], must there be an interval II for which \limsup_{n→∞}|#{j≤n:x_j∈I}-n|I||=∞?

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.