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Keyword

arithmetic progressions

Description: Arithmetic progressions are ordered sequences in which the difference between each pair of consecutive terms remains constant.
Wikidata ID: wiki/Q170008
OpenAlex ID: keywords/arithmetic-progressions
Matrix multiplication via arithmetic progressions
1990 · Don Coppersmith, Shmuel Winograd · Journal of Symbolic Computation · 2,246
A Course in Arithmetic
1973 · Jean-Pierre Serre · Graduate texts in mathematics · 1,715
Additive Combinatorics
2006 · Terence Tao, Van H. Vu · Cambridge University Press eBooks · 816
Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions
1977 · Harry Furstenberg · Journal d Analyse Mathématique · 816
On sets of integers containing k elements in arithmetic progression
1975 · E. Szemerédi · Acta Arithmetica · 801
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A new proof of Szemerédi's theorem
2001 · W.T. Gowers · Geometric and Functional Analysis · 795
Matrix multiplication via arithmetic progressions
1987 · D. Coppersmith, S. Winograd · 632
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Additive number theory: inverse problems and the geometry of sumsets
1997 · Choice Reviews Online · 413
On the Diophantine Equation n(n + d) · · · (n + (k − 1)d) = byl
2004 · K. Győry, L. Hajdu, et al. · Canadian Mathematical Bulletin · 330
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Independent sets in hypergraphs
2014 · József Balogh, Robert Morris, et al. · Journal of the American Mathematical Society · 325
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The Littlewood–Offord problem and invertibility of random matrices
2008 · Mark Rudelson, Roman Vershynin · Advances in Mathematics · 324
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Dynamical Systems and Ergodic Theory
1998 · Mark Pollicott, Michiko Yuri · Cambridge University Press eBooks · 262
An Inverse Theorem for the Gowers $u^3(g)$ Norm
2008 · Ben Green, Terence Tao · Proceedings of the Edinburgh Mathematical Society · 261
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On Triples in Arithmetic Progression
1999 · J. Bourgain · Geometric and Functional Analysis · 247
Linear programming in infinite-dimensional spaces
1988 · M.A. López · European Journal of Operational Research · 237
Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression
1992 · D. R. Heath-Brown · Proceedings of the London Mathematical Society · 219
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The quantitative behaviour of polynomial orbits on nilmanifolds
2012 · Ben Green, Terence Tao · Annals of Mathematics · 210
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Primes in tuples I
2009 · Daniel Goldston, János Pintz, et al. · Annals of Mathematics · 202
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Ramsey’s theorem for 𝑛-parameter sets
1971 · R. L. Graham, B. L. Rothschild · Transactions of the American Mathematical Society · 195
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The Distribution of Leading Digits and Uniform Distribution Mod 1
1977 · Persi Diaconis · The Annals of Probability · 186
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On the number of sums and products
1997 · György Elekes · Acta Arithmetica · 182
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A variant of the hypergraph removal lemma
2006 · Terence Tao · Journal of Combinatorial Theory Series A · 179
Multiple recurrence and nilsequences
2005 · Vitaly Bergelson, Bernard Host, et al. · Inventiones mathematicae · 179
Recent developments in graph Ramsey theory
2015 · David Conlon, Jacob Fox, et al. · Cambridge University Press eBooks · 171
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Extremal problems on set systems
2002 · Peter Frankl, Vojtěch Rödl · Random Structures and Algorithms · 169
Works count: 7,799
Citation count: 38,880
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