Experimental results

To return to the main Polymath5 page, click here.

Perhaps we should have two kinds of subpages to this page: Pages about finding examples, and pages about analyzing them?

Experimental data

• The first 1124-sequence with discrepancy 2. Some more description
• Other length 1124 sequences with discrepancy 2. Some more description
• Some data about the problem with different upper and lower bound. Some more description
• Sequences taking values in [math]\displaystyle{ \mathbb{T} }[/math]:
  • 4th roots of unity
  • 6th roots of unity

Wish list

* What is the discrepancy of the sequence defined in [http://gowers.wordpress.com/2010/01/09/erds-discrepancy-problem-continued/ this post], DONE, i think.

• Find long/longest quasi-multiplicative sequences with some fixed group G, function [math]\displaystyle{ G\to \{-1,1\} }[/math] and maximal discrepancy C
  • [math]\displaystyle{ G=C_6 }[/math] and the function that sends 0,1 and 2 to 1 (because this seems to be a good choice)
• Do a "Mark-Bennet-style analysis" of one of the new 1124-sequences. [1]
• ... you are welcome to add more.