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Author ID: kurlberg.par Recent zbMATH articles by "Kurlberg, Pär"
Published as: Kurlberg, Pär; Kurlberg, P.
Documents Indexed: 50 Publications since 1999
Co-Authors: 37 Co-Authors with 41 Joint Publications
1,211 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 429 times in 301 Documents Cited by Year
Nodal length fluctuations for arithmetic random waves. Zbl 1314.60101
Krishnapur, Manjunath; Kurlberg, Pär; Wigman, Igor
51
2013
The fluctuations in the number of points on a hyperelliptic curve over a finite field. Zbl 1221.11141
Kurlberg, Pär; Rudnick, Zeév
29
2009
A local Riemann hypothesis. I. Zbl 0991.11022
Bump, Daniel; Choi, Kwok-Kwong; Kurlberg, Pär; Vaaler, Jeffrey
25
2000
Lattice points on circles and discrete velocity models for the Boltzmann equation. Zbl 1141.11046
Fainsilber, Laura; Kurlberg, Pär; Wennberg, Bernt
22
2006
A case of the dynamical Mordell-Lang conjecture. Zbl 1285.37021
Benedetto, Robert L.; Ghioca, Dragos; Kurlberg, Pär; Tucker, Thomas J.
20
2012
Hecke theory and equidistribution for the quantization of linear maps of the torus. Zbl 1013.81017
Kurlberg, Pär; Rudnick, Zeév
19
2000
On probability measures arising from lattice points on circles. Zbl 1381.11055
Kurlberg, Pär; Wigman, Igor
19
2017
The distribution of spacings between quadratic residues. Zbl 0985.11038
Kurlberg, Pär; Rudnick, Zeév
18
1999
Wreath products and proportions of periodic points. Zbl 1404.37124
Juul, Jamie; Kurlberg, Pär; Madhu, Kalyani; Tucker, Tom J.
16
2016
On the periods of the linear congruential and power generators. Zbl 1080.11059
Kurlberg, Pär; Pomerance, Carl
15
2005
Periods of rational maps modulo primes. Zbl 1317.37111
Benedetto, Robert L.; Ghioca, Dragos; Hutz, Benjamin; Kurlberg, Pär; Scanlon, Thomas; Tucker, Thomas J.
15
2013
On the distribution of matrix elements for the quantum cat map. Zbl 1082.81054
Kurlberg, Pär; Rudnick, Zeév
13
2005
On quantum ergodicity for linear maps of the torus. Zbl 1042.81026
Kurlberg, Pär; Rudnick, Zeév
13
2001
The distribution of spacings between quadratic residues. II. Zbl 1026.11074
Kurlberg, Pär
12
2000
Variation of the Nazarov-Sodin constant for random plane waves and arithmetic random waves. Zbl 1410.60050
Kurlberg, Pär; Wigman, Igor
12
2018
Products in residue classes. Zbl 1182.11046
Friedlander, John B.; Kurlberg, Pär; Shparlinski, Igor E.
11
2008
A gap principle for dynamics. Zbl 1209.37115
Benedetto, Robert L.; Ghioca, Dragos; Kurlberg, Pär; Tucker, Thomas J.
9
2010
On the average exponent of elliptic curves modulo \(p\). Zbl 1366.11079
Freiberg, Tristan; Kurlberg, Pär
8
2014
On a problem of Arnold: the average multiplicative order of a given integer. Zbl 1282.11131
Kurlberg, Pär; Pomerance, Carl
8
2013
Value distribution for eigenfunctions of desymmetrized quantum maps. Zbl 1001.81025
Kurlberg, Pär; Rudnick, Zeév
7
2001
Superscars in the Šeba billiard. Zbl 1375.81114
Kurlberg, Pär; Ueberschär, Henrik
7
2017
Quantum ergodicity for point scatterers on arithmetic tori. Zbl 1366.35023
Kurlberg, Pär; Ueberschär, Henrik
7
2014
A local Riemann hypothesis. II. Zbl 0991.11023
Kurlberg, Pär
6
2000
Gaussian point count statistics for families of curves over a fixed finite field. Zbl 1297.11063
Kurlberg, Pär; Wigman, Igor
6
2011
Poisson statistics via the Chinese remainder theorem. Zbl 1211.11109
Granville, Andrew; Kurlberg, Pär
6
2008
Superscars for arithmetic toral point scatterers. Zbl 1358.81110
Kurlberg, Pär; Rosenzweig, Lior
6
2017
Poisson distribution for gaps between sums of two squares and level spacings for toral point scatterers. Zbl 1426.11096
Freiberg, Tristan; Kurlberg, Pär; Rosenzweig, Lior
6
2017
On the order of unimodular matrices modulo integers. Zbl 1030.11048
Kurlberg, Pär
5
2003
Poisson spacing statistics for value sets of polynomials. Zbl 1231.11118
Kurlberg, Pär
5
2009
On the fixed points of the map \(x \mapsto x^x\) modulo a prime. Zbl 1393.11029
Kurlberg, Pär; Luca, Florian; Shparlinski, Igor E.
5
2015
Matrix elements for the quantum cat map: fluctuations in short windows. Zbl 1187.81131
Kurlberg, Pär; Rosenzweig, Lior; Rudnick, Zeév
4
2007
Bounds on supremum norms for Hecke eigenfunctions of quantized cat maps. Zbl 1109.81036
Kurlberg, Pär
4
2007
Missing class groups and class number statistics for imaginary quadratic fields. Zbl 1470.11285
Holmin, S.; Jones, N.; Kurlberg, P.; McLeman, C.; Petersen, K.
4
2019
Non-universality of the Nazarov-Sodin constant. (Non-universalité de la constante de Nazarov-Sodin.) Zbl 1322.60064
Kurlberg, Pär; Wigman, Igor
3
2015
A note on multiplicative automatic sequences. II. Zbl 1457.11023
Klurman, Oleksiy; Kurlberg, Pär
3
2020
On the fixed points of the map \(x\mapsto x^x\) modulo a prime. II. Zbl 1423.11171
Felix, Adam Tyler; Kurlberg, Pär
2
2017
A note on multiplicative automatic sequences. (Une note sur les séquences multiplicatives automatiques.) Zbl 1458.11054
Klurman, Oleksiy; Kurlberg, Pär
2
2019
Bounds on exponential sums over small multiplicative subgroups. Zbl 1159.11025
Kurlberg, Pär
1
2007
On a character sum problem of Cohn. Zbl 0997.11065
Kurlberg, Pär
1
2002
The Chebotarev density theorem for function fields – incomplete intervals. Zbl 1472.11287
Kurlberg, Pär; Rosenzweig, Lior
1
2021
The defect of toral Laplace eigenfunctions and arithmetic random waves. Zbl 1471.58012
Kurlberg, Pär; Wigman, Igor; Yesha, Nadav
1
2021
Evidence for the dynamical Brauer-Manin criterion. Zbl 1393.37112
Amerik, Ekaterina; Kurlberg, Pär; Nguyen, Khoa D.; Towsley, Adam; Viray, Bianca; Voloch, José Felipe
1
2016
Product-free sets with high density. Zbl 1357.11028
Kurlberg, Pär; Lagarias, Jeffrey C.; Pomerance, Carl
1
2012
The Chebotarev density theorem for function fields – incomplete intervals. Zbl 1472.11287
Kurlberg, Pär; Rosenzweig, Lior
1
2021
The defect of toral Laplace eigenfunctions and arithmetic random waves. Zbl 1471.58012
Kurlberg, Pär; Wigman, Igor; Yesha, Nadav
1
2021
A note on multiplicative automatic sequences. II. Zbl 1457.11023
Klurman, Oleksiy; Kurlberg, Pär
3
2020
Missing class groups and class number statistics for imaginary quadratic fields. Zbl 1470.11285
Holmin, S.; Jones, N.; Kurlberg, P.; McLeman, C.; Petersen, K.
4
2019
A note on multiplicative automatic sequences. (Une note sur les séquences multiplicatives automatiques.) Zbl 1458.11054
Klurman, Oleksiy; Kurlberg, Pär
2
2019
Variation of the Nazarov-Sodin constant for random plane waves and arithmetic random waves. Zbl 1410.60050
Kurlberg, Pär; Wigman, Igor
12
2018
On probability measures arising from lattice points on circles. Zbl 1381.11055
Kurlberg, Pär; Wigman, Igor
19
2017
Superscars in the Šeba billiard. Zbl 1375.81114
Kurlberg, Pär; Ueberschär, Henrik
7
2017
Superscars for arithmetic toral point scatterers. Zbl 1358.81110
Kurlberg, Pär; Rosenzweig, Lior
6
2017
Poisson distribution for gaps between sums of two squares and level spacings for toral point scatterers. Zbl 1426.11096
Freiberg, Tristan; Kurlberg, Pär; Rosenzweig, Lior
6
2017
On the fixed points of the map \(x\mapsto x^x\) modulo a prime. II. Zbl 1423.11171
Felix, Adam Tyler; Kurlberg, Pär
2
2017
Wreath products and proportions of periodic points. Zbl 1404.37124
Juul, Jamie; Kurlberg, Pär; Madhu, Kalyani; Tucker, Tom J.
16
2016
Evidence for the dynamical Brauer-Manin criterion. Zbl 1393.37112
Amerik, Ekaterina; Kurlberg, Pär; Nguyen, Khoa D.; Towsley, Adam; Viray, Bianca; Voloch, José Felipe
1
2016
On the fixed points of the map \(x \mapsto x^x\) modulo a prime. Zbl 1393.11029
Kurlberg, Pär; Luca, Florian; Shparlinski, Igor E.
5
2015
Non-universality of the Nazarov-Sodin constant. (Non-universalité de la constante de Nazarov-Sodin.) Zbl 1322.60064
Kurlberg, Pär; Wigman, Igor
3
2015
On the average exponent of elliptic curves modulo \(p\). Zbl 1366.11079
Freiberg, Tristan; Kurlberg, Pär
8
2014
Quantum ergodicity for point scatterers on arithmetic tori. Zbl 1366.35023
Kurlberg, Pär; Ueberschär, Henrik
7
2014
Nodal length fluctuations for arithmetic random waves. Zbl 1314.60101
Krishnapur, Manjunath; Kurlberg, Pär; Wigman, Igor
51
2013
Periods of rational maps modulo primes. Zbl 1317.37111
Benedetto, Robert L.; Ghioca, Dragos; Hutz, Benjamin; Kurlberg, Pär; Scanlon, Thomas; Tucker, Thomas J.
15
2013
On a problem of Arnold: the average multiplicative order of a given integer. Zbl 1282.11131
Kurlberg, Pär; Pomerance, Carl
8
2013
A case of the dynamical Mordell-Lang conjecture. Zbl 1285.37021
Benedetto, Robert L.; Ghioca, Dragos; Kurlberg, Pär; Tucker, Thomas J.
20
2012
Product-free sets with high density. Zbl 1357.11028
Kurlberg, Pär; Lagarias, Jeffrey C.; Pomerance, Carl
1
2012
Gaussian point count statistics for families of curves over a fixed finite field. Zbl 1297.11063
Kurlberg, Pär; Wigman, Igor
6
2011
A gap principle for dynamics. Zbl 1209.37115
Benedetto, Robert L.; Ghioca, Dragos; Kurlberg, Pär; Tucker, Thomas J.
9
2010
The fluctuations in the number of points on a hyperelliptic curve over a finite field. Zbl 1221.11141
Kurlberg, Pär; Rudnick, Zeév
29
2009
Poisson spacing statistics for value sets of polynomials. Zbl 1231.11118
Kurlberg, Pär
5
2009
Products in residue classes. Zbl 1182.11046
Friedlander, John B.; Kurlberg, Pär; Shparlinski, Igor E.
11
2008
Poisson statistics via the Chinese remainder theorem. Zbl 1211.11109
Granville, Andrew; Kurlberg, Pär
6
2008
Matrix elements for the quantum cat map: fluctuations in short windows. Zbl 1187.81131
Kurlberg, Pär; Rosenzweig, Lior; Rudnick, Zeév
4
2007
Bounds on supremum norms for Hecke eigenfunctions of quantized cat maps. Zbl 1109.81036
Kurlberg, Pär
4
2007
Bounds on exponential sums over small multiplicative subgroups. Zbl 1159.11025
Kurlberg, Pär
1
2007
Lattice points on circles and discrete velocity models for the Boltzmann equation. Zbl 1141.11046
Fainsilber, Laura; Kurlberg, Pär; Wennberg, Bernt
22
2006
On the periods of the linear congruential and power generators. Zbl 1080.11059
Kurlberg, Pär; Pomerance, Carl
15
2005
On the distribution of matrix elements for the quantum cat map. Zbl 1082.81054
Kurlberg, Pär; Rudnick, Zeév
13
2005
On the order of unimodular matrices modulo integers. Zbl 1030.11048
Kurlberg, Pär
5
2003
On a character sum problem of Cohn. Zbl 0997.11065
Kurlberg, Pär
1
2002
On quantum ergodicity for linear maps of the torus. Zbl 1042.81026
Kurlberg, Pär; Rudnick, Zeév
13
2001
Value distribution for eigenfunctions of desymmetrized quantum maps. Zbl 1001.81025
Kurlberg, Pär; Rudnick, Zeév
7
2001
A local Riemann hypothesis. I. Zbl 0991.11022
Bump, Daniel; Choi, Kwok-Kwong; Kurlberg, Pär; Vaaler, Jeffrey
25
2000
Hecke theory and equidistribution for the quantization of linear maps of the torus. Zbl 1013.81017
Kurlberg, Pär; Rudnick, Zeév
19
2000
The distribution of spacings between quadratic residues. II. Zbl 1026.11074
Kurlberg, Pär
12
2000
A local Riemann hypothesis. II. Zbl 0991.11023
Kurlberg, Pär
6
2000
The distribution of spacings between quadratic residues. Zbl 0985.11038
Kurlberg, Pär; Rudnick, Zeév
18
1999
all top 5

Cited by 332 Authors

21 Wigman, Igor
19 Kurlberg, Pär
16 Shparlinski, Igor E.
11 Tucker, Thomas John
9 Ghioca, Dragos
8 Rossi, Maurizia
7 Marinucci, Domenico
7 Ostafe, Alina
6 Beliaev, Dmitri B.
6 Cammarota, Valentina
6 Garaev, Moubariz Z.
6 Rudnick, Zeév
6 Yesha, Nadav
6 Zaharescu, Alexandru
5 Bridy, Andrew
5 Bucur, Alina
5 Keating, Jonathan Peter
5 Maffucci, Riccardo W.
5 Muirhead, Stephen
4 Benedetto, Robert L.
4 Bernhoff, Niclas
4 David, Chantal
4 Kelmer, Dubi
4 Kim, Sungjin
4 Luca, Florian
4 Meisner, Patrick
4 Olofsson, Rikard
4 Peccati, Giovanni
4 Sha, Min
4 Ueberschär, Henrik
4 Xiong, Maosheng
3 Andrade, Julio Cesar
3 Canzani, Yaiza
3 Hindes, Wade
3 Hutz, Benjamin
3 Juul, Jamie
3 Kowalski, Emmanuel
3 Lester, Stephen J.
3 Letendre, Thomas
3 Marklof, Jens
3 McAuley, Michael
3 Michałek, Mateusz
3 Todino, Anna Paola
3 Towsley, Adam
3 Vidotto, Anna
3 Wood, Melanie Matchett
3 Yasufuku, Yu
2 Akbary, Amir
2 Alkan, Emre
2 Bary-Soroker, Lior
2 Blomer, Valentin
2 Bourgain, Jean
2 Buczolich, Zoltán
2 Chamizo Lorente, Fernando
2 Chang, Mei-Chu
2 Chaubey, Sneha
2 Cheong, Gilyoung
2 Coffey, Mark William
2 Cojocaru, Alina Carmen
2 D’Andrea, Carlos
2 Doyle, John R.
2 Entin, Alexei
2 Erman, Daniel
2 Faber, Xander
2 Feigon, Brooke
2 Felix, Adam Tyler
2 Gurevich, Shamgar
2 Hadani, Ronny
2 Hanin, Boris L.
2 Higashitani, Akihiro
2 Holden, Joshua Brandon
2 Hsia, Liang-Chung
2 Huang, Keping
2 Kedlaya, Kiran Sridhara
2 Klurman, Oleksiy
2 Konyagin, Sergeĭ Vladimirovich
2 Korolëv, Maksim Aleksandrovich
2 Lagarias, Jeffrey C.
2 Lalín, Matilde Noemí
2 Lamzouri, Youness
2 Lanius, Melinda
2 Lemańczyk, Mariusz
2 Manes, Michelle
2 Mans, Bernard
2 Mello, Jorge
2 Müllner, Clemens
2 Nourdin, Ivan
2 Pollack, Paul
2 Pomerance, Carl Bernard
2 Raum, Martin
2 Rivière, Gabriel
2 Rosenzweig, Lior
2 Sarnak, Peter Clive
2 Sartori, Andrea
2 Silverman, Joseph Hillel
2 Sombra, Martín
2 Voloch, José Felipe
2 Yau, Kam-hung
2 Zieve, Michael E.
1 Achter, Jeffrey D.
...and 232 more Authors
all top 5

Cited in 110 Serials

25 Journal of Number Theory
19 Communications in Mathematical Physics
15 Transactions of the American Mathematical Society
8 International Journal of Number Theory
7 Duke Mathematical Journal
7 Proceedings of the American Mathematical Society
7 Finite Fields and their Applications
6 Israel Journal of Mathematics
6 Acta Arithmetica
6 Mathematische Annalen
6 Monatshefte für Mathematik
6 Annales Henri Poincaré
5 Advances in Mathematics
5 Mathematika
4 Journal of Mathematical Physics
4 Journal of Statistical Physics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Canadian Mathematical Bulletin
4 Forum Mathematicum
4 Experimental Mathematics
4 Journal de Théorie des Nombres de Bordeaux
4 Electronic Journal of Probability
4 Annals of Mathematics. Second Series
4 Research in Number Theory
3 Bulletin of the Australian Mathematical Society
3 Journal d’Analyse Mathématique
3 Nonlinearity
3 Annales de l’Institut Fourier
3 Bulletin of the London Mathematical Society
3 Mathematische Zeitschrift
3 Geometric and Functional Analysis. GAFA
3 Bulletin of the American Mathematical Society. New Series
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Mathematical Analysis and Applications
2 Mathematics of Computation
2 The Annals of Probability
2 Compositio Mathematica
2 Czechoslovak Mathematical Journal
2 Journal of Functional Analysis
2 Revista Matemática Iberoamericana
2 Journal of Theoretical Probability
2 Expositiones Mathematicae
2 Theory of Probability and Mathematical Statistics
2 Sbornik: Mathematics
2 Discrete and Continuous Dynamical Systems
2 The Ramanujan Journal
2 Integers
2 Proceedings of the Steklov Institute of Mathematics
2 ALEA. Latin American Journal of Probability and Mathematical Statistics
2 Algebra & Number Theory
2 Kinetic and Related Models
2 Involve
2 Journal of Spectral Theory
1 American Mathematical Monthly
1 Computers & Mathematics with Applications
1 Linear and Multilinear Algebra
1 Mathematical Notes
1 Periodica Mathematica Hungarica
1 American Journal of Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Journal of Approximation Theory
1 Journal of Combinatorial Theory. Series B
1 Journal of Differential Equations
1 Journal für die Reine und Angewandte Mathematik
1 Michigan Mathematical Journal
1 Ergodic Theory and Dynamical Systems
1 Acta Mathematica Hungarica
1 Probability Theory and Related Fields
1 Journal of Complexity
1 Discrete & Computational Geometry
1 The Annals of Applied Probability
1 IMRN. International Mathematics Research Notices
1 L’Enseignement Mathématique. 2e Série
1 Linear Algebra and its Applications
1 Proceedings of the National Academy of Sciences of the United States of America
1 Stochastic Processes and their Applications
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Indagationes Mathematicae. New Series
1 Applicable Algebra in Engineering, Communication and Computing
1 New Zealand Journal of Mathematics
1 Journal of Algebraic Combinatorics
1 SIAM Journal on Scientific Computing
1 Journal of Mathematical Sciences (New York)
1 The Electronic Journal of Combinatorics
1 Selecta Mathematica. New Series
1 Bernoulli
1 Documenta Mathematica
1 Séminaire Lotharingien de Combinatoire
1 Doklady Mathematics
1 Analysis (München)
1 Journal of the European Mathematical Society (JEMS)
1 Dynamical Systems
1 Journal of the Institute of Mathematics of Jussieu
1 Acta Numerica
1 Journal of Physics A: Mathematical and Theoretical
...and 10 more Serials
all top 5

Cited in 38 Fields

190 Number theory (11-XX)
72 Dynamical systems and ergodic theory (37-XX)
57 Probability theory and stochastic processes (60-XX)
40 Algebraic geometry (14-XX)
37 Partial differential equations (35-XX)
36 Global analysis, analysis on manifolds (58-XX)
27 Quantum theory (81-XX)
17 Special functions (33-XX)
16 Combinatorics (05-XX)
12 Differential geometry (53-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
10 Statistical mechanics, structure of matter (82-XX)
8 Commutative algebra (13-XX)
8 Statistics (62-XX)
7 Convex and discrete geometry (52-XX)
7 Fluid mechanics (76-XX)
6 Functions of a complex variable (30-XX)
6 Numerical analysis (65-XX)
5 Field theory and polynomials (12-XX)
5 Several complex variables and analytic spaces (32-XX)
4 Group theory and generalizations (20-XX)
4 Real functions (26-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Measure and integration (28-XX)
3 Ordinary differential equations (34-XX)
3 Abstract harmonic analysis (43-XX)
3 Integral transforms, operational calculus (44-XX)
3 Functional analysis (46-XX)
3 Operator theory (47-XX)
3 Computer science (68-XX)
2 Topological groups, Lie groups (22-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Nonassociative rings and algebras (17-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year