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math.NT/0610050: The primes contain arbitrarily long polynomial progressions - 0 views

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    it is reasonable to conjecture that an analogous result to Theorem 1.3 also holds in higher dimensions.This is however still open even in the linear case, the key difficulty being that the tensor product of pseudorandom measures is not pseudorandom.
arithwsun arithwsun

[PAMQ] Obstructions to Uniformity and Arithmetic Patterns in the Primes - 0 views

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    Published version, can be downloaded freely. PAMQ is a new journal with many beautiful papers.
arithwsun arithwsun

[Bull. AMS] Small gaps between prime numbers: The work of Goldston-Pintz-Yildirim - 0 views

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    there are infinitely many primes for which the gap to the next prime is as small as we want compared to the average gap between consecutive primes.
arithwsun arithwsun

math.NT/0610604: New bounds for Szemeredi's theorem, II: A new bound for r_4(N) - 0 views

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    Define r4(N) to be the largest cardinality of a set A ⊆ {1, . . . ,N} which does not contain four elements in arithmetic progression.
arithwsun arithwsun

math.CO/0602037: A correspondence principle between (hyper)graph theory and probability... - 0 views

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    The setting of this paper was deliberately placed at a midpoint between graph theory and ergodic theory, and the author hopes that it illuminates the analogies and interconnections between these two subjects.
arithwsun arithwsun

math.CO/0604456: The ergodic and combinatorial approaches to Szemerédi's theorem - 0 views

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    The combinatorial and ergodic approaches may seem rather different at first glance, but we will try to emphasise the many similarities between them.
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