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Soficity, short cycles, and the Higman group

Transactions of the American Mathematical Society, 2019-04, Vol.371 (4), p.2771-2795

2019

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On growth in an abstract plane

Proceedings of the American Mathematical Society, 2015-08, Vol.143 (8), p.3593-3602

2015

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Power-free values, large deviations, and integer points on irrational curves

Journal de theorie des nombres de bordeaux, 2007-01, Vol.19 (2), p.433-472

HELFGOTT, Harald A.

2007

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On the diameter of permutation groups

Annals of mathematics, 2014-03, Vol.179 (2), p.611-658

2014

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Random generators of the symmetric group: Diameter, mixing time and spectral gap

Journal of algebra, 2015-01, Vol.421, p.349-368

2015

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Explicit L² bounds for the Riemann ζ function

Journal de theorie des nombres de bordeaux, 2022-01, Vol.34 (1), p.91-133

2022

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Growth in Linear Algebraic Groups and Permutation Groups: Towards a Unified Perspective

Groups St Andrews 2017 in Birmingham, 2019, Vol.455, p.300-345

2019

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Bounds on the diameter of Cayley graphs of the symmetric group

Journal of algebraic combinatorics, 2014-08, Vol.40 (1), p.1-22

2014

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Generalized node splitting and bilevel image compression

DCC (Los Alamitos, Calif.), 1997, p.443-443

1997

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Tilings of Diamonds and Hexagons with Defects

The Electronic journal of combinatorics, 1999-02, Vol.6 (1)

1999

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An improved sieve of Eratosthenes

Mathematics of computation, 2020-01, Vol.89 (321), p.333-350

Helfgott, Harald Andrés

2020

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Summing μ(n): a faster elementary algorithm

Research in number theory, 2023, Vol.9 (1), p.6-6, Article 6

2023

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Square-free values of f(p), f cubic

Acta mathematica, 2014-09, Vol.213 (1), p.107-135

Helfgott, Harald Andrés

2014

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New Dimensional Estimates for Subvarieties of Linear Algebraic Groups

Vietnam journal of mathematics, 2024-04, Vol.52 (2), p.479-518

2024

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Summing \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mu (n)$$\end{document}μ(n): a faster elementary algorithm

Research in number theory, 2022-12, Vol.9 (1)

2022

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Isomorphismes de graphes en temps quasi-polynomial (d’après Babai et Luks, Weisfeiler-Leman, ...)

Astérisque, 2019, Vol.407, p.135-182

Harald Andrés HELFGOTT

2019

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Optimality for the two-parameter quadratic sieve

Acta arithmetica, 2022, Vol.203 (3), p.195-226

2022

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Growth in SL3(ℤ/pℤ)

Journal of the European Mathematical Society : JEMS, 2011, Vol.13 (3), p.761-851

Helfgott, Harald Andrés

2011

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Deterministic methods to find primes

Mathematics of computation, 2012-04, Vol.81 (278), p.1233-1246

2012

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Improving Roth's Theorem in the Primes

International mathematics research notices, 2011-01, Vol.4, p.767-783

2011

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Growth of Small Generating Sets in SLn(Z/pZ)

International mathematics research notices, 2011-01

2011

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Growth in solvable subgroups of GLr(Z/pZ)

Mathematische annalen, 2014, Vol.360 (1-2), p.157-208

2014

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Growth and Generation in$SL_2 (\mathbb{Z}/p\mathbb{Z})

Annals of mathematics, 2008-03, Vol.167 (2), p.601-623

Helfgott, H. A.

2008

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Growth in $\mathrm{SL}_3(ℤ/pℤ)

Journal of the European Mathematical Society : JEMS, 2011-02, Vol.13 (3), p.761-851

Helfgott, Harald Andrés

2011

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Séminaire Bourbaki, volume 2016/2017, exposés 1120-1135

Asterisque, 2019, Vol.406, p.1-588

2019

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Soficity, short cycles, and the Higman group

On growth in an abstract plane

Power-free values, large deviations, and integer points on irrational curves

On the diameter of permutation groups

Random generators of the symmetric group: Diameter, mixing time and spectral gap

Explicit L² bounds for the Riemann ζ function

Growth in Linear Algebraic Groups and Permutation Groups: Towards a Unified Perspective

Bounds on the diameter of Cayley graphs of the symmetric group

Generalized node splitting and bilevel image compression

Tilings of Diamonds and Hexagons with Defects

An improved sieve of Eratosthenes

Summing μ(n): a faster elementary algorithm

Square-free values of f(p), f cubic

New Dimensional Estimates for Subvarieties of Linear Algebraic Groups

Summing \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mu (n)$$\end{document}μ(n): a faster elementary algorithm

Isomorphismes de graphes en temps quasi-polynomial (d’après Babai et Luks, Weisfeiler-Leman, ...)

Optimality for the two-parameter quadratic sieve

Growth in SL3(ℤ/pℤ)

Deterministic methods to find primes

Improving Roth's Theorem in the Primes

Growth of Small Generating Sets in SLn(Z/pZ)

Growth in solvable subgroups of GLr(Z/pZ)

Growth and Generation in$SL_2 (\mathbb{Z}/p\mathbb{Z})

Growth in $\mathrm{SL}_3(ℤ/pℤ)

Séminaire Bourbaki, volume 2016/2017, exposés 1120-1135

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