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  1. Biblio.tex‏‎ (1 revision)
  2. Szemerédi's regularity lemma‏‎ (1 revision)
  3. The complexity class DTIME‏‎ (1 revision)
  4. The HAP-subsequence structure of that sequence‏‎ (1 revision)
  5. T2(x) = -T3(x)‏‎ (1 revision)
  6. Cramer's random model for the primes‏‎ (1 revision)
  7. The complexity class BQP‏‎ (1 revision)
  8. Kruskal-Katona theorem‏‎ (1 revision)
  9. Prove the result for shifted HAPs instead of HAPs‏‎ (1 revision)
  10. Verify the bounded discrepancy of sequence‏‎ (1 revision)
  11. Sequence of length 1091‏‎ (1 revision)
  12. Signed sums of prime reciprocals‏‎ (1 revision)
  13. Finding primes with O(k) random bits‏‎ (1 revision)
  14. Hardy-Littlewood prime tuples conjecture‏‎ (1 revision)
  15. Side Proof 7‏‎ (1 revision)
  16. File output‏‎ (1 revision)
  17. Search for completely multiplicative sequences‏‎ (1 revision)
  18. Que porra n tem nada pra fazer network penetration test‏‎ (1 revision)
  19. Side Proof 6‏‎ (1 revision)
  20. List of results implied by the Riemann Hypothesis‏‎ (1 revision)
  21. Side Proof 1‏‎ (1 revision)
  22. Proposals for finding long low-discrepancy sequences‏‎ (1 revision)
  23. 4th roots of unity‏‎ (1 revision)
  24. Classification of (6,12,18,4,0) sets‏‎ (1 revision)
  25. Side Proof 2‏‎ (1 revision)
  26. 4D Moser sets with d at least 3 has at most 41 points‏‎ (1 revision)
  27. Stdout output‏‎ (1 revision)
  28. Computing a HAP basis‏‎ (1 revision)
  29. A-statistics code‏‎ (1 revision)
  30. Iterated sumsets of log-primes‏‎ (1 revision)
  31. 4D Moser sets with d at least 2 have at most 42 points‏‎ (1 revision)
  32. Matlab script‏‎ (1 revision)
  33. Side Proof 3‏‎ (1 revision)
  34. Easy.tex‏‎ (1 revision)
  35. Depth-first search‏‎ (1 revision)
  36. Optimal a-set pair code‏‎ (1 revision)
  37. Word algebra‏‎ (1 revision)
  38. Optimal a-set pairs‏‎ (1 revision)
  39. 4D Moser sets with d at least 4 have at most 40 points‏‎ (1 revision)
  40. Austin's proof‏‎ (1 revision)
  41. Outline.tex‏‎ (1 revision)
  42. Human proof of the 3D Pareto-optimal Moser statistics‏‎ (1 revision)
  43. HAP tables for Sequence of length 470‏‎ (1 revision)
  44. HAP table for Sequence of length 1112‏‎ (1 revision)
  45. DJH(1,3)‏‎ (2 revisions)
  46. Outro.tex‏‎ (2 revisions)
  47. Smooth number‏‎ (2 revisions)
  48. Discrete logarithm‏‎ (2 revisions)
  49. Density‏‎ (2 revisions)
  50. Corners‏‎ (2 revisions)
  51. T32-invariant sequences‏‎ (2 revisions)
  52. Generic prime‏‎ (2 revisions)
  53. T2(x) = T5(x) = -x‏‎ (2 revisions)
  54. Friedlander-Iwaniec theorem‏‎ (2 revisions)
  55. Factoring‏‎ (2 revisions)
  56. Algorithm for finding multiplicative sequences with bounded discrepancy‏‎ (2 revisions)
  57. Odlyzko's method‏‎ (2 revisions)
  58. The complexity class NP‏‎ (2 revisions)
  59. First obtain multiplicative structure and then obtain a contradiction‏‎ (2 revisions)
  60. Side Proof 8‏‎ (2 revisions)
  61. M=13 Theorem‏‎ (2 revisions)
  62. Bounded Dirichlet inverse‏‎ (2 revisions)
  63. Szemerédi's combinatorial proof of Roth's theorem‏‎ (2 revisions)
  64. 6th roots of unity‏‎ (2 revisions)
  65. Genetic.tex‏‎ (2 revisions)
  66. The complexity class P‏‎ (2 revisions)
  67. Szemerédi's original proof of Szemerédi's theorem‏‎ (2 revisions)
  68. Concentration of measure‏‎ (2 revisions)
  69. Triangle removal lemma‏‎ (2 revisions)
  70. Abstract regularity lemma‏‎ (2 revisions)
  71. Original Elsevier statement‏‎ (2 revisions)
  72. Pseudo-random generators (PRG)‏‎ (2 revisions)
  73. Lindell's Critique‏‎ (2 revisions)
  74. Maximal discrepancy-2 sequence‏‎ (2 revisions)
  75. Lemma 7.5‏‎ (2 revisions)
  76. C code for Moser‏‎ (2 revisions)
  77. Immerman's letter‏‎ (2 revisions)
  78. Depth-first search for multiplicative sequences‏‎ (2 revisions)
  79. Overlapping Schwarz‏‎ (2 revisions)
  80. Equal-slices distribution for DHJ(k)‏‎ (2 revisions)
  81. Sperner.tex‏‎ (2 revisions)
  82. Obtaining the correct bound in Roth's discrepancy theorem‏‎ (2 revisions)
  83. Coloring R 2‏‎ (2 revisions)
  84. Lookup table C code‏‎ (2 revisions)
  85. Vectors for the dual SDP‏‎ (2 revisions)
  86. Forced Drift of Six in Multiplicative Sequences‏‎ (2 revisions)
  87. "New Proof" grant acknowledgments‏‎ (3 revisions)
  88. Side Proof 9‏‎ (3 revisions)
  89. Immerman-Vardi theorem‏‎ (3 revisions)
  90. P=NP implies a deterministic algorithm to find primes‏‎ (3 revisions)
  91. Polymath4 grant acknowledgments‏‎ (3 revisions)
  92. Szemerédi's theorem‏‎ (3 revisions)
  93. Schinzel's hypothesis H‏‎ (3 revisions)
  94. Intransitive dice‏‎ (3 revisions)
  95. Polymath15 grant acknowledgments‏‎ (3 revisions)
  96. Character-like functions‏‎ (3 revisions)
  97. Sequence of length 1112‏‎ (3 revisions)
  98. Correlation with a 1-set implies correlation with a subspace‏‎ (3 revisions)
  99. Function field version‏‎ (3 revisions)
  100. Definable Banach Spaces‏‎ (3 revisions)
  101. Upper and lower discrepancy‏‎ (3 revisions)
  102. Bibliography‏‎ (3 revisions)
  103. Polynomial strategy‏‎ (3 revisions)
  104. Matryoshka Sequences‏‎ (3 revisions)
  105. Topological dynamics formulation‏‎ (3 revisions)
  106. Ergodic perspective‏‎ (3 revisions)
  107. Low discrepancy on PAPs‏‎ (3 revisions)
  108. Estimate the number of discrepancy 2 sequences‏‎ (3 revisions)
  109. Dirichlet inverses‏‎ (3 revisions)
  110. 3D Moser statistics‏‎ (3 revisions)
  111. Second lookup table C code‏‎ (3 revisions)
  112. Low discrepancy on primes and powers of 2‏‎ (3 revisions)
  113. Hindman's theorem‏‎ (4 revisions)
  114. Discretized Borel Determinacy and P=NP‏‎ (4 revisions)
  115. Convert raw input string into CSV table‏‎ (4 revisions)
  116. Lemma 7‏‎ (4 revisions)
  117. Sequence of length 714‏‎ (4 revisions)
  118. Roth's theorem‏‎ (4 revisions)
  119. Carlson's theorem‏‎ (4 revisions)
  120. Verify the bounded discrepancy of an input sequence‏‎ (4 revisions)
  121. Prime gaps‏‎ (4 revisions)
  122. Kolmogorov complexity‏‎ (4 revisions)
  123. The prime factors of the places where the first two sequences of length 1124 differ‏‎ (4 revisions)
  124. Stirling's formula‏‎ (4 revisions)
  125. W-trick‏‎ (4 revisions)
  126. Thue-Morse-Hedlund Sequence‏‎ (4 revisions)
  127. Dhj.bib‏‎ (4 revisions)
  128. An efficient algorithm exists if Cramer's conjecture holds‏‎ (4 revisions)
  129. Influence of variables‏‎ (4 revisions)
  130. Unsolved problems‏‎ (4 revisions)
  131. Outline of first paper‏‎ (4 revisions)
  132. Boshernitzan’s problem‏‎ (4 revisions)
  133. Drift‏‎ (4 revisions)
  134. Roth's Theorem concerning discrepancy on Arithmetic Progression‏‎ (4 revisions)
  135. Furstenberg correspondence principle‏‎ (4 revisions)
  136. Concepts.tex‏‎ (4 revisions)
  137. Scanning code‏‎ (4 revisions)
  138. Sequence of length 3250‏‎ (5 revisions)
  139. Cramer's conjecture‏‎ (5 revisions)
  140. Abstract.tex‏‎ (5 revisions)
  141. Folkman's theorem‏‎ (5 revisions)
  142. Sequences given by modulated Sturmian functions‏‎ (5 revisions)
  143. Higher-dimensional Fujimura‏‎ (5 revisions)
  144. Lemma 8‏‎ (5 revisions)
  145. DHJ(2.6)‏‎ (5 revisions)
  146. Find a different parameter, show that it tends to infinity, and show that that implies that the discrepancy tends to infinity‏‎ (5 revisions)
  147. Genetic algorithm‏‎ (5 revisions)
  148. A Hilbert space lemma‏‎ (5 revisions)
  149. DHJ(1,3)‏‎ (5 revisions)
  150. Pseudointegers‏‎ (5 revisions)
  151. Theproof.tex‏‎ (5 revisions)
  152. Thin triangles‏‎ (5 revisions)
  153. Forced Drifts in Multiplicative Sequences‏‎ (5 revisions)
  154. Carlson-Simpson theorem‏‎ (6 revisions)
  155. Shifts and signs‏‎ (6 revisions)
  156. Sylvester's sequence‏‎ (6 revisions)
  157. Slice‏‎ (6 revisions)
  158. Side Proof 5‏‎ (6 revisions)
  159. T2(x) = -x‏‎ (6 revisions)
  160. Lookup table‏‎ (6 revisions)
  161. Bounded discrepancy multiplicative functions do not correlate with characters‏‎ (6 revisions)
  162. Multiplicative.c‏‎ (6 revisions)
  163. Update‏‎ (6 revisions)
  164. Oracle counterexample to finding pseudoprimes‏‎ (6 revisions)
  165. Graham-Rothschild theorem‏‎ (7 revisions)
  166. The complexity class BPP‏‎ (7 revisions)
  167. Representation of the diagonal‏‎ (7 revisions)
  168. Meissel-Lehmer method‏‎ (7 revisions)
  169. Horn clause formulation‏‎ (7 revisions)
  170. Different upper and lower bound‏‎ (7 revisions)
  171. The complexity class promise-BPP‏‎ (7 revisions)
  172. Bounding the derivative of H t‏‎ (7 revisions)
  173. Fourier-analytic proof of Sperner‏‎ (7 revisions)
  174. Modification of the Ajtai-Szemerédi argument‏‎ (7 revisions)
  175. Polymath1‏‎ (7 revisions)
  176. Estimating a sum‏‎ (7 revisions)
  177. Prime counting function‏‎ (7 revisions)
  178. Austin's proof II‏‎ (7 revisions)
  179. Length 1120 sequences‏‎ (7 revisions)
  180. Combinatorial subspace‏‎ (8 revisions)
  181. Fujimura.tex‏‎ (8 revisions)
  182. DHJ(2.7)‏‎ (8 revisions)
  183. Basic facts about Bohr sets‏‎ (8 revisions)
  184. A general result about density increments‏‎ (8 revisions)
  185. Fourier reduction‏‎ (8 revisions)
  186. Integer.tex‏‎ (8 revisions)
  187. Riemann-Siegel formula‏‎ (8 revisions)
  188. Obstructions to uniformity‏‎ (8 revisions)
  189. The first 1124-sequence‏‎ (8 revisions)
  190. Refined greedy computation of multiplicative sequences‏‎ (8 revisions)
  191. Linear norm grant acknowledgments‏‎ (9 revisions)
  192. Line‏‎ (9 revisions)
  193. Lemma 7.6‏‎ (9 revisions)
  194. Length 1124 sequences‏‎ (9 revisions)
  195. Ergodic-inspired methods‏‎ (9 revisions)
  196. Find a good configuration of HAPs‏‎ (9 revisions)
  197. Equal-slices.tex‏‎ (9 revisions)
  198. Partitioning.tex‏‎ (10 revisions)
  199. Bertrand's postulate‏‎ (10 revisions)
  200. Passing between measures‏‎ (10 revisions)
  201. DHJ(k) implies multidimensional DHJ(k)‏‎ (11 revisions)
  202. Insensitive.tex‏‎ (11 revisions)
  203. Lemma 1‏‎ (11 revisions)
  204. Correlation.tex‏‎ (11 revisions)
  205. IP-Szemerédi theorem‏‎ (11 revisions)
  206. Online reactions to Deolalikar P vs NP paper‏‎ (11 revisions)
  207. Corners theorem‏‎ (12 revisions)
  208. Improving the bounds for Roth's theorem‏‎ (12 revisions)
  209. Coloring.tex‏‎ (12 revisions)
  210. Generalize to a graph-theoretic formulation‏‎ (12 revisions)
  211. Higherk.tex‏‎ (12 revisions)
  212. Polylog parameterizability‏‎ (12 revisions)
  213. Computer proof that completely multiplicative sequences have discrepancy greater than 2‏‎ (12 revisions)
  214. Dhj.tex‏‎ (13 revisions)
  215. Dhj.sty‏‎ (13 revisions)
  216. Short sequences statistics‏‎ (13 revisions)
  217. Create tables in an HTML file from an input sequence‏‎ (13 revisions)
  218. Bounding the discrepancy in terms of the common difference‏‎ (13 revisions)
  219. Dhj-lown-lower.tex‏‎ (13 revisions)
  220. Excluding bichromatic vertices‏‎ (13 revisions)
  221. Dickson-Hardy-Littlewood theorems‏‎ (13 revisions)
  222. Notes on polytope decomposition‏‎ (13 revisions)
  223. Discrepancy 3 multiplicative sequence of length 13186‏‎ (13 revisions)
  224. BK:Section 3‏‎ (14 revisions)
  225. T m(x) = (+/-)T n(x)‏‎ (14 revisions)
  226. Bounding the derivative of H t - third approach‏‎ (14 revisions)
  227. Find set configurations that imply FUNC‏‎ (14 revisions)
  228. Measures.tex‏‎ (14 revisions)
  229. Dynamics of zeros‏‎ (14 revisions)
  230. Omega(N)‏‎ (14 revisions)
  231. Wirsing translation‏‎ (15 revisions)
  232. Random k-SAT‏‎ (15 revisions)
  233. "Low Dimensions" grant acknowledgments‏‎ (16 revisions)
  234. Updating partial sums with Fenwick tree‏‎ (16 revisions)
  235. Limits with better properties‏‎ (16 revisions)
  236. Ajtai-Szemerédi's proof of the corners theorem‏‎ (16 revisions)
  237. Moser.tex‏‎ (16 revisions)
  238. Furstenberg-Katznelson argument‏‎ (17 revisions)
  239. Sperner's theorem‏‎ (18 revisions)
  240. A general partitioning principle‏‎ (18 revisions)
  241. Intro.tex‏‎ (18 revisions)
  242. Effective bounds on H t‏‎ (18 revisions)
  243. Controlling A+B/B 0‏‎ (18 revisions)
  244. Hyper-optimistic conjecture‏‎ (19 revisions)
  245. Density increment method‏‎ (20 revisions)
  246. Side Proof 4‏‎ (20 revisions)
  247. A second outline of a density-increment argument‏‎ (20 revisions)
  248. Side Proof 10‏‎ (21 revisions)
  249. Dhj-lown.tex‏‎ (21 revisions)
  250. M=13 case of FUNC‏‎ (22 revisions)
  251. A second Fourier decomposition related to Sperner's theorem‏‎ (22 revisions)
  252. Equal-slices measure‏‎ (22 revisions)
  253. Quantum Arrow's Theorem‏‎ (22 revisions)
  254. 4D Moser brute force search‏‎ (22 revisions)
  255. Introduction.tex‏‎ (23 revisions)
  256. Stability of eigenfunctions‏‎ (23 revisions)
  257. Logo‏‎ (24 revisions)
  258. Tidy problem page‏‎ (24 revisions)
  259. Line free sets correlate locally with dense sets of complexity k-2‏‎ (25 revisions)
  260. Linear norm‏‎ (25 revisions)
  261. Polymath.tex‏‎ (26 revisions)
  262. Imo 2012‏‎ (26 revisions)
  263. Proof of DHJ(3) via density-increment‏‎ (26 revisions)
  264. Frankl's union-closed conjecture‏‎ (27 revisions)
  265. Multiplicative sequences‏‎ (27 revisions)
  266. Lattice approach‏‎ (27 revisions)
  267. Longest constrained sequences‏‎ (28 revisions)
  268. Maple calculations‏‎ (28 revisions)
  269. Imo 2009 q6‏‎ (28 revisions)
  270. Timeline‏‎ (28 revisions)
  271. Kakeya problem‏‎ (29 revisions)
  272. Zero-free regions‏‎ (29 revisions)
  273. The Erdos-Rado sunflower lemma‏‎ (29 revisions)
  274. Bounding the derivative of H t - second approach‏‎ (29 revisions)
  275. TeX files for first paper‏‎ (30 revisions)
  276. Benchmarks of small admissible tuples‏‎ (31 revisions)
  277. Jun Fukuyama's P≠NP Paper‏‎ (31 revisions)
  278. Controlling H t-A-B/B 0‏‎ (31 revisions)
  279. Outline of second paper‏‎ (32 revisions)
  280. Imo 2011‏‎ (32 revisions)
  281. Higher-dimensional DHJ numbers‏‎ (33 revisions)
  282. Moser-lower.tex‏‎ (33 revisions)
  283. Polymath8 grant acknowledgments‏‎ (34 revisions)
  284. Quasirandomness‏‎ (36 revisions)
  285. An outline of a density-increment argument‏‎ (37 revisions)
  286. DHJ(3)‏‎ (40 revisions)
  287. Fujimura's problem‏‎ (41 revisions)
  288. Human proof that completely multiplicative sequences have discrepancy greater than 2‏‎ (42 revisions)
  289. Other proposed projects‏‎ (43 revisions)
  290. Finding optimal k0 values‏‎ (46 revisions)
  291. Line-free sets correlate locally with complexity-1 sets‏‎ (46 revisions)
  292. Second attempt at computing H t(x) for negative t‏‎ (48 revisions)
  293. Asymptotics of H t‏‎ (51 revisions)
  294. De Bruijn-Newman constant‏‎ (54 revisions)
  295. Imo 2010‏‎ (56 revisions)
  296. The polynomial Hirsch conjecture‏‎ (56 revisions)
  297. Rota's conjecture‏‎ (57 revisions)
  298. Timeline of prime gap bounds‏‎ (57 revisions)
  299. Effective bounds on H t - second approach‏‎ (62 revisions)
  300. Algebraic formulation of Hadwiger-Nelson problem‏‎ (65 revisions)
  301. Human proof that completely multiplicative sequences have discrepancy greater than 3‏‎ (66 revisions)
  302. Distribution of primes in smooth moduli‏‎ (69 revisions)
  303. Upper and lower bounds‏‎ (69 revisions)
  304. Complexity of a set‏‎ (81 revisions)
  305. ABC conjecture‏‎ (83 revisions)
  306. The cost of knowledge‏‎ (86 revisions)
  307. COVID-19 dataset clearinghouse‏‎ (97 revisions)
  308. Coloring Hales-Jewett theorem‏‎ (98 revisions)
  309. Polymath15 test problem‏‎ (104 revisions)
  310. The Erdős discrepancy problem‏‎ (107 revisions)
  311. Experimental results‏‎ (113 revisions)
  312. Selberg sieve variational problem‏‎ (121 revisions)
  313. The hot spots conjecture‏‎ (132 revisions)
  314. Finding primes‏‎ (155 revisions)
  315. Moser's cube problem‏‎ (165 revisions)
  316. Probabilistic formulation of Hadwiger-Nelson problem‏‎ (182 revisions)
  317. Hadwiger-Nelson problem‏‎ (250 revisions)
  318. Finding narrow admissible tuples‏‎ (303 revisions)
  319. Deolalikar P vs NP paper‏‎ (340 revisions)
  320. Main Page‏‎ (353 revisions)
  321. Journal publishing reform‏‎ (358 revisions)
  322. Bounded gaps between primes‏‎ (604 revisions)

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