User contributions for Alec

15:0215:02, 28 January 2010 diff hist +879‎ N Prove the result for shifted HAPs instead of HAPs ‎ Brief explanation of motivation for considering PAPs. current

08:0408:04, 22 January 2010 diff hist +5‎ Low discrepancy on PAPs ‎No edit summary
07:1707:17, 22 January 2010 diff hist +6,688‎ N Low discrepancy on PAPs ‎ New page: These sequences were generated by choosing a large random 'shift' <math>L</math> (between <math>2^{63}</math> and <math>2^{64}</math>) and requiring that the sequence shifted by <math>L</m...
07:0007:00, 22 January 2010 diff hist +51‎ Experimental results ‎ →‎Experimental data

23:1823:18, 20 January 2010 diff hist +550‎ Sequences given by modulated Sturmian functions ‎ Add correct sequence of length 406. current
12:0212:02, 20 January 2010 diff hist −549‎ Sequences given by modulated Sturmian functions ‎ One of the sequences was incorrect. Delete it.
10:2210:22, 20 January 2010 diff hist −105‎ Experimental results ‎ →‎Experimental data: Consolidate examples of modulated Sturmian functions into one page.
10:2010:20, 20 January 2010 diff hist +885‎ Sequences given by modulated Sturmian functions ‎No edit summary
06:1506:15, 20 January 2010 diff hist +12‎ Sequences given by modulated Sturmian functions ‎No edit summary
06:1306:13, 20 January 2010 diff hist +714‎ N Sequences given by modulated Sturmian functions ‎ New page: This sequence, of length 406, satisfies the formula <math>f(2^a 3^b 5^c 7^d) = \theta(a+b+2c) (-1)^{b+c+d}</math> where <math>\theta(n)</math> is <math>1</math> if <math>\lfloor (n+1) \f...
06:0806:08, 20 January 2010 diff hist +61‎ Experimental results ‎ →‎Experimental data

23:4823:48, 19 January 2010 diff hist +14‎ Sequence of length 714 ‎No edit summary
23:0423:04, 19 January 2010 diff hist +908‎ N Sequence of length 714 ‎ New page: This sequence of length 714 satisfies the formula given at the end of [http://gowers.wordpress.com/2010/01/16/the-erds-discrepancy-problem-v/#comment-5313 this comment]. +-++----++-+++--...
23:0023:00, 19 January 2010 diff hist +99‎ Experimental results ‎ →‎Experimental data

15:3715:37, 18 January 2010 diff hist +1,267‎ N Sequence of length 1091 ‎ New page: This sequence has length 1091 and discrepancy 2. It was generated by backtracking from a length-1008 sequence generated by Klas' program. +--++---++-+-+--+-+++--+-++---+++---++--++-++---... current
15:3515:35, 18 January 2010 diff hist +52‎ Experimental results ‎ →‎Experimental data

22:5622:56, 16 January 2010 diff hist 0‎ Shifts and signs ‎No edit summary
22:1622:16, 16 January 2010 diff hist 0‎ Shifts and signs ‎ Correct e(2,25).
15:3015:30, 16 January 2010 diff hist +1‎ Shifts and signs ‎No edit summary
15:2415:24, 16 January 2010 diff hist +853‎ N Shifts and signs ‎ New page: The first 1124 sequence seems to exhibit great structure in its subsequences of the form <math>x_{p^k m}</math>. If <math>m \nmid p</math>, we can often (subject to some anomalies) write ...
15:1815:18, 16 January 2010 diff hist +87‎ Experimental results ‎ →‎Experimental data
08:3608:36, 16 January 2010 diff hist +282‎ Multiplicative sequences ‎No edit summary
08:3208:32, 16 January 2010 diff hist +679‎ Multiplicative sequences ‎No edit summary
05:4505:45, 16 January 2010 diff hist +415‎ Multiplicative sequences ‎No edit summary
05:2905:29, 16 January 2010 diff hist +861‎ Multiplicative sequences ‎ C=3 sequence of length 819
03:4103:41, 16 January 2010 diff hist +802‎ Multiplicative sequences ‎ C=3 sequence of length 627

13:1613:16, 15 January 2010 diff hist +2,066‎ N Bounded Dirichlet inverse ‎ New page: Every completely-multiplicative sequence has Dirichlet inverse bounded by <math>1</math>, and the longest discrepancy-2 sequence with this property has length <math>246</math>. (Are all su...
13:0713:07, 15 January 2010 diff hist +48‎ Experimental results ‎ →‎Experimental data

14:0514:05, 14 January 2010 diff hist −2‎ m Longest constrained sequences ‎No edit summary
14:0014:00, 14 January 2010 diff hist +7,418‎ N Dirichlet inverses ‎ New page: __FORCETOC__ == 974 sequence == This is the Dirichlet inverse of the 974 sequence with nice multiplicative properties: <pre> 1, 1, 1, 0, 1, 1, -1, 0, 2, 1, 1, 0, -1, -1, 1, 0, 1, 2, -1,...
13:5613:56, 14 January 2010 diff hist +44‎ Experimental results ‎ →‎Experimental data
12:5712:57, 14 January 2010 diff hist +37‎ m Longest constrained sequences ‎No edit summary
12:2712:27, 14 January 2010 diff hist +27‎ m Longest constrained sequences ‎No edit summary
11:3311:33, 14 January 2010 diff hist 0‎ m Longest constrained sequences ‎No edit summary
00:0700:07, 14 January 2010 diff hist 0‎ m Longest constrained sequences ‎No edit summary

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