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Contents contributed and discussions participated by arithwsun arithwsun

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[math/0601211] Generalising the Hardy-Littlewood Method for Primes - 0 views

arxiv.org/0601211

4ap additive-primes circle-method ergodicpnt expository mobius-function vaughan-identity

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[math/0412220] An invitation to additive prime number theory - 0 views

arxiv.org/0412220

additive-primes ergodicpnt expository

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The Gaussian primes contain arbitrarily shaped constellations - 0 views

www.citebase.org/abstract

ergodicpnt gaussian-primes hypergraph

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math.NT/0508185: Goldston, D. A., Pintz, J., Yildirim, C. Y. - 0 views

front.math.ucdavis.edu/...0508185

enveloping-sieve ergodicpnt small-gaps

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[math/0604089] Montreal Lecture Notes on Quadratic Fourier Analysis - 0 views

arxiv.org/0604089

4ap ergodicpnt expository

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Citebase - An inverse theorem for the Gowers U3 norm - 0 views

www.citebase.org/abstract

4ap ergodicpnt gowers-norm szemeredi

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[math/0508063] Long arithmetic progressions of primes - 0 views

arxiv.org/0508063

almost-primes dichotomy ergodicpnt expository linear-bias-in-3term local-densities soft-obstruction w-trick

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math.NT/0511069: Compressions, convex geometry and the Freiman-Bilu theorem - 0 views

arxiv.org/0511069

ergodicpnt system:unfiled

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math.PR/0511215: Inverse Littlewood-Offord theorems and the condition number of random ... - 0 views

arxiv.org/0511215

ergodicpnt inverse-littlewood-offord-theorem

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

arxiv.org/0610050

bergelson-leibman ergodicpnt featured polynomial structure szemeredi transference

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arithwsun arithwsun on 31 Jul 07

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.

<div class="cArrow"> </div><div class="cContentInner"> 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.</div>

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

front.math.ucdavis.edu/...0604456

combinatorial ergodic ergodicpnt expository pseudorandom structured szemeredi

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arithwsun arithwsun on 31 Jul 07

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

<div class="cArrow"> </div><div class="cContentInner">The combinatorial and ergodic approaches may seem rather different at first glance, but we will try to emphasise the many similarities between them.</div>

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citebase Search - 0 views

www.citebase.org/

ergodicpnt search-math

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

front.math.ucdavis.edu/...0602037

correspondence-principle ergodic ergodicpnt graph transference

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arithwsun arithwsun on 31 Jul 07

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.

<div class="cArrow"> </div><div class="cContentInner">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.</div>

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math.CO/0601431: Product set estimates for non-commutative groups - 0 views

front.math.ucdavis.edu/...0601431

ergodicpnt szemeredi

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math.NT/0606088: Linear Equations in Primes - 0 views

arxiv.org/0606088

4ap enveloping-sieve ergodicpnt generalized-von-neumann gowers-norm kap mobius-function nilsequences transference w-trick

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arithwsun arithwsun on 31 Jul 07

Denote the Gowers Inverse conjecture by 'GI(s)' and denote the M¨obius and nilsequences conjecture by 'MN(s)', Our results are therefore unconditional in the case s = 2, and in particular we can obtain the expected asymptotics for the number of 4-term

<div class="cArrow"> </div><div class="cContentInner">Denote the Gowers Inverse conjecture by 'GI(s)' and denote the M¨obius and nilsequences conjecture by 'MN(s)', Our results are therefore unconditional in the case s = 2, and in particular we can obtain the expected asymptotics for the number of 4-term</div>

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

arxiv.org/0610604

4ap ergodicpnt szemeredi

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arithwsun arithwsun on 31 Jul 07

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

<div class="cArrow"> </div><div class="cContentInner">Define r4(N) to be the largest cardinality of a set A ⊆ {1, . . . ,N} which does not contain four elements in arithmetic progression.</div>

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Linear relations amongst sums of two squares - 0 views

www.maths.warwick.ac.uk/...7.ps

4ap circle-method ergodicpnt

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arithwsun arithwsun on 31 Jul 07

DR Heath-Brown - Number theory and algebraic geometry-to Peter Swinnerton-

<div class="cArrow"> </div><div class="cContentInner">DR Heath-Brown - Number theory and algebraic geometry-to Peter Swinnerton-</div>

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Gowers' note for additive number theory - 0 views

www.dpmms.cam.ac.uk/...addnoth.notes.dvi

additive-nt ergodicpnt expository featured fourier-analytic szemeredi vinogradov

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arithwsun arithwsun on 31 Jul 07

I have proposed this course for the academic year 2006-7. The syllabus is Roth's theorem, the geometry of numbers, Freiman's theorem, quasirandomness of graphs and 3-uniform hypergraphs, and Szemerédi's regularity lemmaThe course will be examined as a 24

<div class="cArrow"> </div><div class="cContentInner">I have proposed this course for the academic year 2006-7. The syllabus is Roth's theorem, the geometry of numbers, Freiman's theorem, quasirandomness of graphs and 3-uniform hypergraphs, and Szemerédi's regularity lemmaThe course will be examined as a 24</div>

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Andrew Granville --- Prime Number Patterns - 0 views

www.dms.umontreal.ca/...PrimePatterns.pdf

arithmetic-progressions ergodicpnt green-tao primes-patterns

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[math/0302311] Roth's theorem in the primes - 0 views

www.arxiv.org/0302311

3ap ergodicpnt restriction-theorem

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