×

Kontorovich, Alex V.

Compute Distance To:
Author ID: kontorovich.alex-v Recent zbMATH articles by "Kontorovich, Alex V."
Published as: Kontorovich, Alex; Kontorovich, Alex V.; Kontorovich, A. V.
Homepage: http://www.math.rutgers.edu/~ak1230/
External Links: MGP · ORCID · Wikidata · Google Scholar · Twitter · dblp

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 311 times in 169 Documents Cited by Year
Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds. With appendix by Hee Oh and Nimish Shah. Zbl 1235.22015
Kontorovich, Alex; Oh, Hee
43
2011
Schubert calculus and torsion explosion. Zbl 1380.20015
Williamson, Geordie
39
2017
On Zaremba’s conjecture. Zbl 1370.11083
Bourgain, Jean; Kontorovich, Alex
31
2014
On the local-global conjecture for integral Apollonian gaskets. With an appendix by Péter P. Varjú. Zbl 1301.11046
Bourgain, Jean; Kontorovich, Alex
18
2014
On representations of integers in thin subgroups of \(\text{SL}_2(\mathbb Z)\). Zbl 1230.11050
Bourgain, Jean; Kontorovich, Alex
18
2010
Benford’s law, values of \(L\)-functions and the \(3x+1\) problem. Zbl 1139.11033
Kontorovich, Alex V.; Miller, Steven J.
18
2005
Almost prime Pythagorean triples in thin orbits. Zbl 1273.11055
Kontorovich, Alex; Oh, Hee
15
2012
From Apollonius to Zaremba: local-global phenomena in thin orbits. Zbl 1309.11040
Kontorovich, Alex
15
2013
Sector estimates for hyperbolic isometries. Zbl 1208.22007
Bourgain, Jean; Kontorovich, Alex; Sarnak, Peter
15
2010
The hyperbolic lattice point count in infinite volume with applications to sieves. Zbl 1223.11113
Kontorovich, Alex V.
13
2009
On the \(\mathrm{GL}(3)\) Kuznetsov formula with applications to symmetry types of families of \(L\)-functions. Zbl 1344.11041
Goldfeld, Dorian; Kontorovich, Alex
12
2013
On the determination of the Plancherel measure for Lebedev-Whittaker transforms on \(\mathrm{GL}(n)\). Zbl 1304.11034
Goldfeld, Dorian; Kontorovich, Alex
7
2012
The affine sieve beyond expansion. I: Thin hypotenuses. Zbl 1347.11068
Bourgain, Jean; Kontorovich, Alex
7
2015
Effective equidistribution of shears and applications. Zbl 1400.11105
Kelmer, Dubi; Kontorovich, Alex
7
2018
Levels of distribution and the affine sieve. Zbl 1335.11078
Kontorovich, Alex
6
2014
On Zaremba’s conjecture. Zbl 1215.11005
Bourgain, Jean; Kontorovich, Alex
6
2011
On the pair correlation density for hyperbolic angles. Zbl 1318.30066
Kelmer, Dubi; Kontorovich, Alex
5
2015
Geometry and arithmetic of crystallographic sphere packings. Zbl 1422.52009
Kontorovich, Alex; Nakamura, Kei
4
2019
Stochastic models for the \(3x+1\) and \(5x+1\) problems and related problems. Zbl 1253.11035
Kontorovich, Alex V.; Lagarias, Jeffrey C.
4
2010
Beyond expansion. II: Low-lying fundamental geodesics. Zbl 1403.11054
Bourgain, Jean; Kontorovich, Alex
4
2017
Quadratic addition rules for quantum integers. Zbl 1097.11007
Kontorovich, Alex V.; Nathanson, Melvyn B.
4
2006
What is \(\dots\) a thin group? Zbl 1423.20060
Kontorovich, Alex; Long, D. Darren; Lubotzky, Alexander; Reid, Alan W.
3
2019
Applications of thin orbits. Zbl 1406.11068
Kontorovich, Alex
3
2016
The local-global principle for integral Soddy sphere packings. Zbl 1459.11097
Kontorovich, Alex
2
2019
Almost prime coordinates for anisotropic and thin Pythagorean orbits. Zbl 1331.11084
Hong, Jiuzu; Kontorovich, Alex
2
2015
Bounding hyperbolic and spherical coefficients of Maass forms. Zbl 1365.11048
Blomer, Valentin; Brumley, Farrell; Kontorovich, Alex; Templier, Nicolas
2
2014
Beyond expansion. III: reciprocal geodesics. Zbl 1447.11079
Bourgain, Jean; Kontorovich, Alex
1
2019
The Sierpiński sieve of Nim-varieties and binomial coefficients. Zbl 1178.11020
Fraenkel, Aviezri S.; Kontorovich, Alex
1
2007
Exponents for the equidistribution of shears and applications. Zbl 1427.11046
Kelmer, Dubi; Kontorovich, Alex
1
2020
A pseudo twin primes theorem. Zbl 1337.11062
Kontorovich, Alex V.
1
2012
Beyond expansion. IV: Traces of thin semigroups. Zbl 1428.11128
Bourgain, Jean; Kontorovich, Alex
1
2018
Erratum to: On representations of integers in thin subgroups of \(\text{SL}_2(\mathbb Z)\). Zbl 1234.11050
Bourgain, Jean; Kontorovich, Alex
1
2010
The Dirichlet series for the exterior square \(L\)-function on \(\text{GL}(n)\). Zbl 1234.11064
Kontorovich, Alex V.
1
2010
Structure theorem for \((d,g,h)\)-maps. Zbl 1055.11009
Kontorovich, A. V.; Sinai, Ya. G.
1
2002
Exponents for the equidistribution of shears and applications. Zbl 1427.11046
Kelmer, Dubi; Kontorovich, Alex
1
2020
Geometry and arithmetic of crystallographic sphere packings. Zbl 1422.52009
Kontorovich, Alex; Nakamura, Kei
4
2019
What is \(\dots\) a thin group? Zbl 1423.20060
Kontorovich, Alex; Long, D. Darren; Lubotzky, Alexander; Reid, Alan W.
3
2019
The local-global principle for integral Soddy sphere packings. Zbl 1459.11097
Kontorovich, Alex
2
2019
Beyond expansion. III: reciprocal geodesics. Zbl 1447.11079
Bourgain, Jean; Kontorovich, Alex
1
2019
Effective equidistribution of shears and applications. Zbl 1400.11105
Kelmer, Dubi; Kontorovich, Alex
7
2018
Beyond expansion. IV: Traces of thin semigroups. Zbl 1428.11128
Bourgain, Jean; Kontorovich, Alex
1
2018
Schubert calculus and torsion explosion. Zbl 1380.20015
Williamson, Geordie
39
2017
Beyond expansion. II: Low-lying fundamental geodesics. Zbl 1403.11054
Bourgain, Jean; Kontorovich, Alex
4
2017
Applications of thin orbits. Zbl 1406.11068
Kontorovich, Alex
3
2016
The affine sieve beyond expansion. I: Thin hypotenuses. Zbl 1347.11068
Bourgain, Jean; Kontorovich, Alex
7
2015
On the pair correlation density for hyperbolic angles. Zbl 1318.30066
Kelmer, Dubi; Kontorovich, Alex
5
2015
Almost prime coordinates for anisotropic and thin Pythagorean orbits. Zbl 1331.11084
Hong, Jiuzu; Kontorovich, Alex
2
2015
On Zaremba’s conjecture. Zbl 1370.11083
Bourgain, Jean; Kontorovich, Alex
31
2014
On the local-global conjecture for integral Apollonian gaskets. With an appendix by Péter P. Varjú. Zbl 1301.11046
Bourgain, Jean; Kontorovich, Alex
18
2014
Levels of distribution and the affine sieve. Zbl 1335.11078
Kontorovich, Alex
6
2014
Bounding hyperbolic and spherical coefficients of Maass forms. Zbl 1365.11048
Blomer, Valentin; Brumley, Farrell; Kontorovich, Alex; Templier, Nicolas
2
2014
From Apollonius to Zaremba: local-global phenomena in thin orbits. Zbl 1309.11040
Kontorovich, Alex
15
2013
On the \(\mathrm{GL}(3)\) Kuznetsov formula with applications to symmetry types of families of \(L\)-functions. Zbl 1344.11041
Goldfeld, Dorian; Kontorovich, Alex
12
2013
Almost prime Pythagorean triples in thin orbits. Zbl 1273.11055
Kontorovich, Alex; Oh, Hee
15
2012
On the determination of the Plancherel measure for Lebedev-Whittaker transforms on \(\mathrm{GL}(n)\). Zbl 1304.11034
Goldfeld, Dorian; Kontorovich, Alex
7
2012
A pseudo twin primes theorem. Zbl 1337.11062
Kontorovich, Alex V.
1
2012
Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds. With appendix by Hee Oh and Nimish Shah. Zbl 1235.22015
Kontorovich, Alex; Oh, Hee
43
2011
On Zaremba’s conjecture. Zbl 1215.11005
Bourgain, Jean; Kontorovich, Alex
6
2011
On representations of integers in thin subgroups of \(\text{SL}_2(\mathbb Z)\). Zbl 1230.11050
Bourgain, Jean; Kontorovich, Alex
18
2010
Sector estimates for hyperbolic isometries. Zbl 1208.22007
Bourgain, Jean; Kontorovich, Alex; Sarnak, Peter
15
2010
Stochastic models for the \(3x+1\) and \(5x+1\) problems and related problems. Zbl 1253.11035
Kontorovich, Alex V.; Lagarias, Jeffrey C.
4
2010
Erratum to: On representations of integers in thin subgroups of \(\text{SL}_2(\mathbb Z)\). Zbl 1234.11050
Bourgain, Jean; Kontorovich, Alex
1
2010
The Dirichlet series for the exterior square \(L\)-function on \(\text{GL}(n)\). Zbl 1234.11064
Kontorovich, Alex V.
1
2010
The hyperbolic lattice point count in infinite volume with applications to sieves. Zbl 1223.11113
Kontorovich, Alex V.
13
2009
The Sierpiński sieve of Nim-varieties and binomial coefficients. Zbl 1178.11020
Fraenkel, Aviezri S.; Kontorovich, Alex
1
2007
Quadratic addition rules for quantum integers. Zbl 1097.11007
Kontorovich, Alex V.; Nathanson, Melvyn B.
4
2006
Benford’s law, values of \(L\)-functions and the \(3x+1\) problem. Zbl 1139.11033
Kontorovich, Alex V.; Miller, Steven J.
18
2005
Structure theorem for \((d,g,h)\)-maps. Zbl 1055.11009
Kontorovich, A. V.; Sinai, Ya. G.
1
2002
all top 5

Cited by 188 Authors

21 Kontorovich, Alex V.
14 Bourgain, Jean
12 Oh, Hee
7 Kan, Igor D.
6 Fuchs, Elena D.
6 Miller, Steven J.
5 Berger, Arno
4 Kelmer, Dubi
4 Naud, Frédéric
4 Pollicott, Mark
4 Sarnak, Peter Clive
4 Stange, Katherine E.
3 Buttcane, Jack
3 Gamburd, Alexander
3 Jakobson, Dmitry
3 Mohammadi, Amir
3 Parkkonen, Jouni
3 Paulin, Frédéric
3 Pohl, Anke D.
3 Winter, Dale
2 Blomer, Valentin
2 De Leo, Roberto
2 Edwards, Samuel C.
2 Falk, Richard S.
2 Jenkinson, Oliver
2 Li, Han
2 Magee, Michael
2 Margulis, Grigoriĭ Aleksandrovich
2 Nguyen, Lan
2 Nigrini, Mark J.
2 Nussbaum, Roger David
2 Odnorob, V. A.
2 Risager, Morten S.
2 Shah, Nimish A.
2 Shapira, Uri
2 Soares, Louis
2 Stade, Eric
2 Urbański, Mariusz
2 Zhang, Runlin
1 Anderson, Theresa C.
1 Arzhantseva, Goulnara N.
1 Axenides, Minos
1 Balanzario, Eugenio P.
1 Baragar, Arthur
1 Barrett, Owen
1 Biswas, Arindam
1 Boca, Florin-Petre
1 Borthwick, David
1 Burkhardt, Paula
1 Burrin, Claire
1 Cecotti, Sergio
1 Chait-Roth, Devora
1 Chamberland, Marc
1 Chan, Wai Kiu
1 Chandee, Vorrapan
1 Chang, Mei-Chu
1 Chaubey, Sneha
1 Chen, Evan
1 Chen, Weiru
1 Chousionis, Vasileios
1 Cohen, Peter L.
1 Coons, Michael
1 Cui, Alisa
1 De Saxcé, Nicolas
1 Dewitt, Jonathan
1 Dick, Josef
1 Dorward, Robert
1 Edwards, Sam
1 Eshun, Gideon
1 Farris, Madeleine
1 Floratos, Emmanuel G.
1 Gambini, Alessandro
1 Ge, Huabin
1 Geng, Zhiyuan
1 Giorgilli, Antonio
1 Goldfeld, Dorian Morris
1 Gorodnik, Alexander
1 Granville, Andrew James
1 Guerreiro, João Nisan C.
1 He, Weikun
1 Heersink, Byron
1 Hill, Theodore Preston
1 Hines, Robert
1 Hohlweg, Christophe
1 Holly, Jan E.
1 Hong, Jiuzu
1 Huang, Bingrong
1 Huang, Shinnyih
1 Hürlimann, Werner
1 Jameson, Marie
1 Jana, Subhajit
1 Jiang, Wenshuai
1 Jiao, Mo
1 Kessler, Calvin
1 Kıral, Eren Mehmet
1 Laaksonen, Niko
1 Lagarias, Jeffrey C.
1 Lee, Min
1 Lesesvre, Didier
1 Levine, Lionel
...and 88 more Authors
all top 5

Cited in 79 Serials

9 Journal of Number Theory
8 Geometric and Functional Analysis. GAFA
7 Transactions of the American Mathematical Society
6 Experimental Mathematics
6 Journal of Modern Dynamics
5 Compositio Mathematica
5 Duke Mathematical Journal
5 Inventiones Mathematicae
5 Mathematische Annalen
5 Journal of the American Mathematical Society
4 Israel Journal of Mathematics
4 Advances in Mathematics
4 Journal für die Reine und Angewandte Mathematik
4 Bulletin of the American Mathematical Society. New Series
4 International Journal of Number Theory
3 Mathematische Zeitschrift
3 Ergodic Theory and Dynamical Systems
3 Annals of Mathematics. Second Series
2 American Mathematical Monthly
2 Communications in Mathematical Physics
2 Mathematical Notes
2 Annales de l’Institut Fourier
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Functional Analysis
2 Proceedings of the American Mathematical Society
2 Expositiones Mathematicae
2 Journal of Difference Equations and Applications
2 Journal of the European Mathematical Society (JEMS)
2 Forum of Mathematics, Sigma
2 Research in Number Theory
1 Communications in Algebra
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal d’Analyse Mathématique
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Mathematics Magazine
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Commentarii Mathematici Helvetici
1 Functiones et Approximatio. Commentarii Mathematici
1 Functional Analysis and its Applications
1 Integral Equations and Operator Theory
1 Journal of Differential Equations
1 Memoirs of the American Mathematical Society
1 Semigroup Forum
1 Theoretical Computer Science
1 Journal of Complexity
1 Revista Matemática Iberoamericana
1 SIAM Journal on Discrete Mathematics
1 The Journal of Geometric Analysis
1 Aequationes Mathematicae
1 Communications in Statistics. Theory and Methods
1 Stochastic Processes and their Applications
1 Journal of Dynamics and Differential Equations
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Algebraic Combinatorics
1 Journal de Théorie des Nombres de Bordeaux
1 Selecta Mathematica. New Series
1 Sbornik: Mathematics
1 Izvestiya: Mathematics
1 The Ramanujan Journal
1 Conformal Geometry and Dynamics
1 Journal of Group Theory
1 Journal of High Energy Physics
1 Integers
1 Mathematical Geology
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Milan Journal of Mathematics
1 Journal of Algebra and its Applications
1 Statistical Methods and Applications
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Proceedings of the Steklov Institute of Mathematics
1 Japanese Journal of Mathematics. 3rd Series
1 Probability Surveys
1 Science China. Mathematics
1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
1 Journal of Spectral Theory
1 Forum of Mathematics, Pi
1 Journal of Fractal Geometry
1 Discrete Analysis

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.