×

zbMATH — the first resource for mathematics

Sarnak, Peter Clive

Compute Distance To:
Author ID: sarnak.peter-c Recent zbMATH articles by "Sarnak, Peter Clive"
Published as: Sarnak, P.; Sarnak, Peter; Sarnak, Peter C.
Homepage: https://www.math.princeton.edu/people/peter-sarnak
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
Awards: Wolf Prize (2014)
Documents Indexed: 157 Publications since 1980, including 11 Books
Biographic References: 2 Publications
all top 5

Co-Authors

51 single-authored
17 Phillips, Ralph Saul
12 Rudnick, Zeév
8 Bourgain, Jean
8 Luo, Wenzhi
6 Iwaniec, Henryk
5 Gamburd, Alexander
4 Gelbart, Stephen S.
4 Osgood, Brad G.
3 Ghosh, Amit
3 Hejhal, Dennis A.
3 Li, Jian-Shu
3 Liu, Jianya
3 Lubotzky, Alexander
2 Burger, Marc
2 Cogdell, James W.
2 Eskin, Alex
2 Hafner, James Lee
2 Howe, Roger Evans
2 Jakobson, Dmitry
2 Katz, Nicholas Michael
2 Kuhn, Harold William
2 Lindenstrauss, Elon
2 Nirenberg, Louis
2 Piatetski-Shapiro, Ilya
2 Reznikov, Andre
2 Weisfeld, Morris
2 Wigman, Igor
2 Zaharescu, Alexandru
1 Adams, Scot
1 Alexanderson, Gerald L.
1 Barcelo, Hélène
1 Beheshti, Roya
1 Böcherer, Siegfried
1 Buser, Peter
1 Cohen, Charles J.
1 Coskun, Izzet
1 Davidoff, Giuliana
1 DeMarco, Laura Grace
1 Deshouillers, Jean-Marc
1 Diamond, Harold George
1 Drinfeld, Vladimir Gershonovich
1 Driver, Kathy A.
1 Duke, William Drexel
1 Dumas, David
1 Efrat, Isaac Y.
1 Eisenbud, David
1 Epstein, Charles Lawrence
1 Fuchs, Elena D.
1 Goldfeld, Dorian Morris
1 Grigor’yan, Alexander Asaturovich
1 Hales, Thomas Callister
1 Hamenstädt, Ursula
1 Ilyashenko, Yulij Sergeevich
1 Katok, Svetlana R.
1 Kelmer, Dubi
1 Kenig, Carlos Eduardo
1 Klainerman, Sergiu
1 Kolountzakis, Mihail N.
1 Kontorovich, Alex V.
1 Kuksin, Sergeĭ B.
1 Lapid, Erez Moshe
1 Lubinsky, Doron S.
1 Macintyre, Angus John
1 McCurley, Kevin S.
1 Meiri, Chen
1 Nevo, Amos
1 Osserman, Robert
1 Parzanchevski, Ori
1 Petridis, Yiannis N.
1 Petruska, Gy.
1 Quine, John R.
1 Rubinstein, Michael O.
1 Salehi Golsefidy, Alireza
1 Sapir, Eugenia
1 Schulze-Pillot, Rainer
1 Shahidi, Freydoon
1 Shelah, Saharon
1 Shin, Sug Woo
1 Strömbergsson, Andreas
1 Templier, Nicolas
1 Terras, Audrey Anne
1 Thompson, John Griggs
1 Tsfasman, Michael A.
1 Tsimerman, Jacob
1 Ubis, Adrián
1 Valette, Alain
1 Vardi, Ilan
1 Vlǎduţ, Sergei Georgievich
1 Wakayama, Masato
1 Wang, Lan
1 Wilkinson, Amie
1 Wolpert, Scott A.
1 Wright, Alex
1 Xue, Xiaoxi
1 Ziegler, Tamar
1 Zorich, Anton
all top 5

Serials

10 Duke Mathematical Journal
8 Inventiones Mathematicae
7 Communications on Pure and Applied Mathematics
7 Notices of the American Mathematical Society
6 Communications in Mathematical Physics
6 Bulletin of the American Mathematical Society. New Series
5 Acta Mathematica
5 Journal of Functional Analysis
5 Geometric and Functional Analysis. GAFA
4 Israel Journal of Mathematics
4 Journal of the European Mathematical Society (JEMS)
3 Journal of Number Theory
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Publications Mathématiques
2 Journal of the American Mathematical Society
2 IMRN. International Mathematics Research Notices
2 Proceedings of the National Academy of Sciences of the United States of America
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Annals of Mathematics. Second Series
2 Cambridge Tracts in Mathematics
2 Contemporary Mathematics
2 Israel Mathematical Conference Proceedings
1 American Mathematical Monthly
1 Journal d’Analyse Mathématique
1 Advances in Mathematics
1 American Journal of Mathematics
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Mathematische Zeitschrift
1 Transactions of the American Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 Combinatorica
1 Bulletin of the Iranian Mathematical Society
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Indagationes Mathematicae. New Series
1 Experimental Mathematics
1 Documenta Mathematica
1 Nieuw Archief voor Wiskunde. Vijfde Serie
1 Journal of Evolution Equations
1 Moscow Mathematical Journal
1 Milan Journal of Mathematics
1 Colloquium Publications. American Mathematical Society
1 London Mathematical Society Student Texts
1 IAS/Park City Mathematics Series
1 Communications in Mathematical Analysis
1 Journal of Modern Dynamics

Publications by Year

Citations contained in zbMATH Open

137 Publications have been cited 4,184 times in 2,668 Documents Cited by Year
Ramanujan graphs. Zbl 0661.05035
Lubotzky, A.; Phillips, R.; Sarnak, P.
350
1988
Random matrices, Frobenius eigenvalues, and monodromy. Zbl 0958.11004
Katz, Nicholas M.; Sarnak, Peter
205
1999
Extremals of determinants of Laplacians. Zbl 0653.53022
Osgood, B.; Phillips, R.; Sarnak, P.
170
1988
Zeros of principal \(L\)-functions and random matrix theory. Zbl 0866.11050
Rudnick, Zeév; Sarnak, Peter
157
1996
Low lying zeros of families of \(L\)-functions. Zbl 1012.11041
Iwaniec, Henryk; Luo, Wenzhi; Sarnak, Peter
134
2000
Zeroes of zeta functions and symmetry. Zbl 0921.11047
Katz, Nicholas M.; Sarnak, Peter
119
1999
Density of integer points on affine homogeneous varieties. Zbl 0798.11024
Duke, W.; Rudnick, Z.; Sarnak, P.
100
1993
Determinants of Laplacians. Zbl 0618.10023
Sarnak, Peter
93
1987
The behaviour of eigenstates of arithmetic hyperbolic manifolds. Zbl 0836.58043
Rudnick, Zeév; Sarnak, Peter
89
1994
Elementary number theory, group theory and Ramanujan graphs. Zbl 1032.11001
Davidoff, Giuliana; Sarnak, Peter; Valette, Alain
86
2003
Some applications of modular forms. Zbl 0721.11015
Sarnak, Peter
78
1990
On the generalized Ramanujan conjecture for \(\text{GL}(n)\). Zbl 0965.11023
Luo, Wenzhi; Rudnick, Zeév; Sarnak, Peter
71
1999
On Selberg’s eigenvalue conjecture. Zbl 0844.11038
Luo, W.; Rudnick, Z.; Sarnak, P.
71
1995
Class numbers of indefinite binary quadratic forms. Zbl 0499.10021
Sarnak, Peter
68
1982
On cusp forms for co-finite subgroups of PSL(2,\({\mathbb{R}})\). Zbl 0558.10017
Phillips, R. S.; Sarnak, P.
67
1985
\(L^ \infty\) norms of eigenfunctions of arithmetic surfaces. Zbl 0833.11019
Iwaniec, H.; Sarnak, P.
65
1995
The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros. Zbl 0992.11037
Iwaniec, Henryk; Sarnak, Peter
63
2000
Perspectives on the analytic theory of \(L\)-functions. Zbl 0996.11036
Iwaniec, H.; Sarnak, P.
61
2000
Heegner points, cycles and Maass forms. Zbl 0787.11016
Katok, Svetlana; Sarnak, Peter
60
1993
Estimates for Rankin-Selberg \(L\)-functions and quantum unique ergodicity. Zbl 1006.11022
Sarnak, Peter
58
2001
Affine linear sieve, expanders, and sum-product. Zbl 1239.11103
Bourgain, Jean; Gamburd, Alex; Sarnak, Peter
57
2010
Chebyshev’s bias. Zbl 0823.11050
Rubinstein, Michael; Sarnak, Peter
57
1994
Bounds for multiplicities of automorphic representations. Zbl 0741.22010
Sarnak, Peter; Xue, Xiaoxi
55
1991
Compact isospectral sets of surfaces. Zbl 0653.53021
Osgood, B.; Phillips, R.; Sarnak, P.
54
1988
On the period matrix of a Riemann surface of large genus (with an appendix by J. H. Conway and N. J. A. Sloane). Zbl 0814.14033
Buser, P.; Sarnak, P.
53
1994
The arithmetic and geometry of some hyperbolic three manifolds. Zbl 0527.10022
Sarnak, P.
53
1983
Disjointness of Moebius from horocycle flows. Zbl 1336.37030
Bourgain, J.; Sarnak, P.; Ziegler, T.
52
2013
Arithmetic quantum chaos. Zbl 0831.58045
Sarnak, Peter
51
1995
Generalization of Selberg’s \(\frac {3}{16} \) theorem and affine sieve. Zbl 1276.11081
Bourgain, Jean; Gamburd, Alex; Sarnak, Peter
49
2011
Quantum ergodicity of eigenfunctions on \(\text{PSL}_ 2(\mathbb{Z}) \backslash H^ 2\). Zbl 0852.11024
Luo, Wenzhi; Sarnak, Peter
49
1995
Hecke operators and distributing points on the sphere. I. Zbl 0619.10052
Lubotzky, A.; Phillips, R.; Sarnak, P.
47
1986
Asymptotic behavior of periodic orbits of the horocycle flow and Eisenstein series. Zbl 0501.58027
Sarnak, Peter
47
1981
Sums of Kloosterman sums. Zbl 0507.10029
Goldfeld, D.; Sarnak, P.
41
1983
The pair correlation function of fractional parts of polynomials. Zbl 0919.11052
Rudnick, Zeév; Sarnak, Peter
40
1998
Minima of Epstein’s zeta function and heights of flat tori. Zbl 1145.11033
Sarnak, Peter; Strömbergsson, Andreas
37
2006
Spectra of hyperbolic surfaces. Zbl 1045.11033
Sarnak, Peter
37
2003
Hecke operators and distributing points on \(S^2\). II. Zbl 0648.10034
Lubotzky, A.; Phillips, R.; Sarnak, P.
37
1987
Ramanujan duals. II. Zbl 0774.11021
Burger, Marc; Sarnak, P.
36
1991
The distribution of spacings between the fractional parts of \(n^2\alpha\). Zbl 1006.11041
Rudnick, Zeév; Sarnak, Peter; Zaharescu, Alexandru
34
2001
Geodesics in homology classes. Zbl 0642.53050
Phillips, Ralph; Sarnak, Peter
34
1987
The Möbius function and distal flows. Zbl 1383.11094
Liu, Jianya; Sarnak, Peter
33
2015
Sieving and expanders. Zbl 1217.11081
Bourgain, Jean; Gamburd, Alex; Sarnak, Peter
32
2006
Notes on the generalized Ramanujan conjectures. Zbl 1146.11031
Sarnak, Peter
32
2005
Integrals of products of eigenfunctions. Zbl 0833.11020
Sarnak, Peter
30
1994
Nodal domains of Maass forms. I. Zbl 1328.11044
Ghosh, Amit; Reznikov, Andre; Sarnak, Peter
26
2013
Mass equidistribution for Hecke eigenforms. Zbl 1044.11022
Luo, Wenzhi; Sarnak, Peter
25
2003
Spectra of elements in the group ring of SU(2). Zbl 0916.22009
Gamburd, Alex; Jakobson, Dmitry; Sarnak, Peter
25
1999
What is …an expander? Zbl 1161.05341
Sarnak, Peter
22
2004
Diophantine problems and linear groups. Zbl 0743.11018
Sarnak, Peter C.
22
1991
The Weyl theorem and the deformation of discrete groups. Zbl 0614.10027
Phillips, R. S.; Sarnak, P.
21
1985
The horocycle flow at prime times. Zbl 1307.11048
Sarnak, Peter; Ubis, Adrián
20
2015
Number variance for arithmetic hyperbolic surfaces. Zbl 0797.58069
Luo, W.; Sarnak, P.
20
1994
Perturbation theory for the Laplacian on automorphic functions. Zbl 0743.30039
Phillips, R.; Sarnak, P.
20
1992
The Laplacian for domains in hyperbolic space and limit sets of Kleinian groups. Zbl 0611.30037
Phillips, R. S.; Sarnak, P.
20
1985
Integral Apollonian packings. Zbl 1260.52011
Sarnak, Peter
19
2011
Prime and almost prime integral points on principal homogeneous spaces. Zbl 1233.11102
Nevo, Amos; Sarnak, Peter
19
2010
Reciprocal geodesics. Zbl 1198.11039
Sarnak, Peter
19
2007
Betti numbers of congruence groups. (Appendix: On representations of compact \(p\)-adic groups by Ze’ev Rudnick). Zbl 0843.11027
Sarnak, Peter; Adams, Scot
19
1994
Ramanujan duals and automorphic spectrum. Zbl 0762.22009
Burger, Marc; Li, J. S.; Sarnak, P.
19
1992
Notes on thin matrix groups. Zbl 1365.11039
Sarnak, Peter
18
2014
Recent progress on the quantum unique ergodicity conjecture. Zbl 1234.58007
Sarnak, Peter
18
2011
Spectral behavior of quasi periodic potentials. Zbl 0506.35074
Sarnak, P.
18
1982
Families of \(L\)-functions and their symmetry. Zbl 1417.11078
Sarnak, Peter; Shin, Sug Woo; Templier, Nicolas
17
2016
Real zeros of holomorphic Hecke cusp forms. Zbl 1287.11054
Ghosh, Amit; Sarnak, Peter
17
2012
Selberg’s eigenvalue conjecture. Zbl 1042.11517
Sarnak, Peter
17
1995
Moduli space, heights and isospectral sets of plane domains. Zbl 0677.58045
Osgood, B.; Phillips, R.; Sarnak, P.
17
1989
Quantum unique ergodicity for \(\text{SL}_2 (\mathcal O)\backslash\mathbb{H}^3\) and estimates for \(L\)-functions. Zbl 0995.11036
Petridis, Yiannis; Sarnak, Peter
16
2001
Determinants of Laplacians; heights and finiteness. Zbl 0703.53037
Sarnak, Peter
16
1990
Dirichlet \(L\)-functions at the central point. Zbl 0929.11025
Iwaniec, H.; Sarnak, P.
15
1999
Statistical properties of eigenvalues of the Hecke operators. Zbl 0628.10028
Sarnak, Peter
15
1987
Maass cusp forms. Zbl 0566.10017
Deshouillers, J.-M.; Iwaniec, H.; Phillips, R. S.; Sarnak, P.
15
1985
Topologies of nodal sets of random band limited functions. Zbl 1366.60015
Sarnak, Peter; Wigman, Igor
14
2016
The affine sieve. Zbl 1283.20055
Salehi Golsefidy, Alireza; Sarnak, Peter
14
2013
On Linnik and Selberg’s conjecture about sums of Kloosterman sums. Zbl 1234.11104
Sarnak, Peter; Tsimerman, Jacob
14
2009
Values at integers of binary quadratic forms. Zbl 0911.11032
Sarnak, Peter
14
1997
Fourth moments of Grössencharakteren zeta functions. Zbl 0577.10026
Sarnak, Peter
14
1985
Zeros of L-functions attached to Maass forms. Zbl 0565.10026
Epstein, Charles; Hafner, James Lee; Sarnak, Peter
14
1985
Spectra of singular measures as multipliers on \(L^ p\). Zbl 0461.43007
Sarnak, Peter
14
1980
Sector estimates for hyperbolic isometries. Zbl 1208.22007
Bourgain, Jean; Kontorovich, Alex; Sarnak, Peter
13
2010
The spectrum of Fermat curves. Zbl 0751.11030
Phillips, R.; Sarnak, P.
13
1991
The determinant of the Eisenstein matrix and Hilbert class fields. Zbl 0576.10017
Efrat, I.; Sarnak, P.
13
1985
A new curvature invariant and entropy of geodesic flows. Zbl 0536.53048
Osserman, R.; Sarnak, P.
13
1984
Integral points on quadrics in three variables whose coordinates have few prime factors. Zbl 1230.11045
Liu, Jianya; Sarnak, Peter
12
2010
Poincaré series for \(SO(n,1)\). Zbl 0743.11028
Cogdell, J.; Li, J.-S.; Piatetski-Shapiro, Ilya I.; Sarnak, P.
12
1991
Class numbers of indefinite binary quadratic forms. II. Zbl 0571.10022
Sarnak, Peter C.
12
1985
Topology and nesting of the zero set components of monochromatic random waves. Zbl 07038035
Canzani, Yaiza; Sarnak, Peter
11
2019
Hyperbolic monodromy groups for the hypergeometric equation and Cartan involutions. Zbl 1347.20054
Fuchs, Elena; Meiri, Chen; Sarnak, Peter
11
2014
Quantum variance for Hecke eigenforms. Zbl 1121.11042
Luo, Wenzhi; Sarnak, Peter
11
2004
Strong spectral gaps for compact quotients of products of \(\text{PSL}(2,\mathbb R)\). Zbl 1254.11050
Kelmer, Dubi; Sarnak, Peter
10
2009
The \(n\)-level correlations of zeros of the zeta function. Zbl 0837.11047
Rudnick, Zeév; Sarnak, Peter
10
1994
Local statistics of lattice points on the sphere. Zbl 1394.11059
Bourgain, Jean; Sarnak, Peter; Rudnick, Zeév
9
2016
Nonvanishing of \(L\)-functions on \(\operatorname{Re}(s)=1\). Zbl 1088.11067
Sarnak, Peter
9
2004
A proof of Siegel’s weight formula. Zbl 0743.11023
Eskin, Alex; Rudnick, Zeév; Sarnak, Peter
9
1991
Markoff triples and strong approximation. Zbl 1378.11043
Bourgain, Jean; Gamburd, Alexander; Sarnak, Peter
8
2016
The variance of arithmetic measures associated to closed geodesics on the modular surface. Zbl 1231.11057
Luo, Wenzhi; Rudnick, Zeév; Sarnak, Peter
8
2009
Equidistribution and primes. Zbl 1223.11112
Sarnak, Peter
8
2008
A new method for lower bounds of \(L\)-functions. Zbl 1101.11034
Gelbart, Stephen S.; Lapid, Erez M.; Sarnak, Peter
8
2004
Extremal geometries. Zbl 0873.58069
Sarnak, Peter
8
1997
On cusp forms. Zbl 0618.10018
Sarnak, Peter
8
1986
Cusp forms for character varieties. Zbl 0804.11038
Phillips, R.; Sarnak, P.
7
1994
Stable polynomials and crystalline measures. Zbl 1459.05177
Kurasov, P.; Sarnak, P.
2
2020
Topology and nesting of the zero set components of monochromatic random waves. Zbl 07038035
Canzani, Yaiza; Sarnak, Peter
11
2019
Topologies of nodal sets of random band-limited functions. Zbl 1414.58019
Sarnak, Peter; Wigman, Igor
5
2019
Super-Golden-Gates for \(PU(2)\). Zbl 1383.81059
Parzanchevski, Ori; Sarnak, Peter
4
2018
Nodal domains of Maass forms. II. Zbl 1392.11026
Ghosh, Amit; Reznikov, Andre; Sarnak, Peter
6
2017
Spatial statistics for lattice points on the sphere. I: Individual results. Zbl 07006293
Bourgain, Jean; Rudnick, Zeév; Sarnak, Peter
4
2017
The Möbius disjointness conjecture for distal flows. Zbl 1432.11107
Liu, Jianya; Sarnak, Peter
3
2017
Families of \(L\)-functions and their symmetry. Zbl 1417.11078
Sarnak, Peter; Shin, Sug Woo; Templier, Nicolas
17
2016
Topologies of nodal sets of random band limited functions. Zbl 1366.60015
Sarnak, Peter; Wigman, Igor
14
2016
Local statistics of lattice points on the sphere. Zbl 1394.11059
Bourgain, Jean; Sarnak, Peter; Rudnick, Zeév
9
2016
Markoff triples and strong approximation. Zbl 1378.11043
Bourgain, Jean; Gamburd, Alexander; Sarnak, Peter
8
2016
The Möbius function and distal flows. Zbl 1383.11094
Liu, Jianya; Sarnak, Peter
33
2015
The horocycle flow at prime times. Zbl 1307.11048
Sarnak, Peter; Ubis, Adrián
20
2015
Notes on thin matrix groups. Zbl 1365.11039
Sarnak, Peter
18
2014
Hyperbolic monodromy groups for the hypergeometric equation and Cartan involutions. Zbl 1347.20054
Fuchs, Elena; Meiri, Chen; Sarnak, Peter
11
2014
Disjointness of Moebius from horocycle flows. Zbl 1336.37030
Bourgain, J.; Sarnak, P.; Ziegler, T.
52
2013
Nodal domains of Maass forms. I. Zbl 1328.11044
Ghosh, Amit; Reznikov, Andre; Sarnak, Peter
26
2013
The affine sieve. Zbl 1283.20055
Salehi Golsefidy, Alireza; Sarnak, Peter
14
2013
Real zeros of holomorphic Hecke cusp forms. Zbl 1287.11054
Ghosh, Amit; Sarnak, Peter
17
2012
Recent progress on the quantum unique ergodicity conjecture. Zbl 1317.58036
Sarnak, Peter
2
2012
Generalization of Selberg’s \(\frac {3}{16} \) theorem and affine sieve. Zbl 1276.11081
Bourgain, Jean; Gamburd, Alex; Sarnak, Peter
49
2011
Integral Apollonian packings. Zbl 1260.52011
Sarnak, Peter
19
2011
Recent progress on the quantum unique ergodicity conjecture. Zbl 1234.58007
Sarnak, Peter
18
2011
Affine linear sieve, expanders, and sum-product. Zbl 1239.11103
Bourgain, Jean; Gamburd, Alex; Sarnak, Peter
57
2010
Prime and almost prime integral points on principal homogeneous spaces. Zbl 1233.11102
Nevo, Amos; Sarnak, Peter
19
2010
Sector estimates for hyperbolic isometries. Zbl 1208.22007
Bourgain, Jean; Kontorovich, Alex; Sarnak, Peter
13
2010
Integral points on quadrics in three variables whose coordinates have few prime factors. Zbl 1230.11045
Liu, Jianya; Sarnak, Peter
12
2010
Linking numbers of modular knots. Zbl 1206.57011
Sarnak, Peter
3
2010
The Grand Riemann Hypothesis. (Extended abstract). Zbl 1275.11121
Sarnak, Peter
1
2010
On Linnik and Selberg’s conjecture about sums of Kloosterman sums. Zbl 1234.11104
Sarnak, Peter; Tsimerman, Jacob
14
2009
Strong spectral gaps for compact quotients of products of \(\text{PSL}(2,\mathbb R)\). Zbl 1254.11050
Kelmer, Dubi; Sarnak, Peter
10
2009
The variance of arithmetic measures associated to closed geodesics on the modular surface. Zbl 1231.11057
Luo, Wenzhi; Rudnick, Zeév; Sarnak, Peter
8
2009
Equidistribution and primes. Zbl 1223.11112
Sarnak, Peter
8
2008
Some commentary on Atle Selberg’s mathematics. Zbl 1144.01301
Hejhal, D.; Sarnak, P.
2
2008
Some applications of modular forms. Paperback reprint. Zbl 1141.11023
Sarnak, Peter
1
2008
Reciprocal geodesics. Zbl 1198.11039
Sarnak, Peter
19
2007
Automorphic forms and applications. Papers of the IAS/Park City Mathematics Institute, Park City, UT, USA, July 1–20, 2002. Zbl 1116.11003
Sarnak, Peter (ed.); Shahidi, Freydoon (ed.)
3
2007
Minima of Epstein’s zeta function and heights of flat tori. Zbl 1145.11033
Sarnak, Peter; Strömbergsson, Andreas
37
2006
Sieving and expanders. Zbl 1217.11081
Bourgain, Jean; Gamburd, Alex; Sarnak, Peter
32
2006
Notes on the generalized Ramanujan conjectures. Zbl 1146.11031
Sarnak, Peter
32
2005
What is …an expander? Zbl 1161.05341
Sarnak, Peter
22
2004
Quantum variance for Hecke eigenforms. Zbl 1121.11042
Luo, Wenzhi; Sarnak, Peter
11
2004
Nonvanishing of \(L\)-functions on \(\operatorname{Re}(s)=1\). Zbl 1088.11067
Sarnak, Peter
9
2004
A new method for lower bounds of \(L\)-functions. Zbl 1101.11034
Gelbart, Stephen S.; Lapid, Erez M.; Sarnak, Peter
8
2004
Elementary number theory, group theory and Ramanujan graphs. Zbl 1032.11001
Davidoff, Giuliana; Sarnak, Peter; Valette, Alain
86
2003
Spectra of hyperbolic surfaces. Zbl 1045.11033
Sarnak, Peter
37
2003
Mass equidistribution for Hecke eigenforms. Zbl 1044.11022
Luo, Wenzhi; Sarnak, Peter
25
2003
Arithmetic and equidistribution of measures on the sphere. Zbl 1090.11033
Böcherer, Siegfried; Sarnak, Peter; Schulze-Pillot, Rainer
5
2003
Maass cusp forms with integer coefficients. Zbl 1035.11023
Sarnak, Peter
3
2002
Some remarks on Landau-Siegel zeros. Zbl 1008.11033
Sarnak, P.; Zaharescu, A.
2
2002
Estimates for Rankin-Selberg \(L\)-functions and quantum unique ergodicity. Zbl 1006.11022
Sarnak, Peter
58
2001
The distribution of spacings between the fractional parts of \(n^2\alpha\). Zbl 1006.11041
Rudnick, Zeév; Sarnak, Peter; Zaharescu, Alexandru
34
2001
Quantum unique ergodicity for \(\text{SL}_2 (\mathcal O)\backslash\mathbb{H}^3\) and estimates for \(L\)-functions. Zbl 0995.11036
Petridis, Yiannis; Sarnak, Peter
16
2001
Low lying zeros of families of \(L\)-functions. Zbl 1012.11041
Iwaniec, Henryk; Luo, Wenzhi; Sarnak, Peter
134
2000
The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros. Zbl 0992.11037
Iwaniec, Henryk; Sarnak, Peter
63
2000
Perspectives on the analytic theory of \(L\)-functions. Zbl 0996.11036
Iwaniec, H.; Sarnak, P.
61
2000
Kloosterman, quadratic forms and modular forms. Zbl 1173.11341
Sarnak, Peter
2
2000
Random matrices, Frobenius eigenvalues, and monodromy. Zbl 0958.11004
Katz, Nicholas M.; Sarnak, Peter
205
1999
Zeroes of zeta functions and symmetry. Zbl 0921.11047
Katz, Nicholas M.; Sarnak, Peter
119
1999
On the generalized Ramanujan conjecture for \(\text{GL}(n)\). Zbl 0965.11023
Luo, Wenzhi; Rudnick, Zeév; Sarnak, Peter
71
1999
Spectra of elements in the group ring of SU(2). Zbl 0916.22009
Gamburd, Alex; Jakobson, Dmitry; Sarnak, Peter
25
1999
Dirichlet \(L\)-functions at the central point. Zbl 0929.11025
Iwaniec, H.; Sarnak, P.
15
1999
Quantum chaos, symmetry and zeta functions. Lecture I: Quantum chaos, Lecture II: Zeta functions. Zbl 0954.11018
Sarnak, Peter
5
1999
Equidistribution of holonomy about closed geodesics. Zbl 0939.22008
Sarnak, Peter; Wakayama, Masato
5
1999
The pair correlation function of fractional parts of polynomials. Zbl 0919.11052
Rudnick, Zeév; Sarnak, Peter
40
1998
\(L\)-functions. Zbl 0930.11065
Sarnak, Peter
3
1998
Values at integers of binary quadratic forms. Zbl 0911.11032
Sarnak, Peter
14
1997
Extremal geometries. Zbl 0873.58069
Sarnak, Peter
8
1997
Extremal Riemann surfaces. From the proceedings of the AMS special session with related papers, January 4–5, 1995, San Francisco, CA, USA. Zbl 0856.00021
Quine, J. R. (ed.); Sarnak, Peter (ed.)
2
1997
Spectra and eigenfunctions of Laplacians. Zbl 0888.58069
Sarnak, Peter
1
1997
Zeros of principal \(L\)-functions and random matrix theory. Zbl 0866.11050
Rudnick, Zeév; Sarnak, Peter
157
1996
On Selberg’s eigenvalue conjecture. Zbl 0844.11038
Luo, W.; Rudnick, Z.; Sarnak, P.
71
1995
\(L^ \infty\) norms of eigenfunctions of arithmetic surfaces. Zbl 0833.11019
Iwaniec, H.; Sarnak, P.
65
1995
Arithmetic quantum chaos. Zbl 0831.58045
Sarnak, Peter
51
1995
Quantum ergodicity of eigenfunctions on \(\text{PSL}_ 2(\mathbb{Z}) \backslash H^ 2\). Zbl 0852.11024
Luo, Wenzhi; Sarnak, Peter
49
1995
Selberg’s eigenvalue conjecture. Zbl 1042.11517
Sarnak, Peter
17
1995
Some hypersurfaces in \(\mathbb{P}^ 4\) and the Hasse-principle. Zbl 0857.14013
Sarnak, Peter; Wang, Lan
6
1995
The behaviour of eigenstates of arithmetic hyperbolic manifolds. Zbl 0836.58043
Rudnick, Zeév; Sarnak, Peter
89
1994
Chebyshev’s bias. Zbl 0823.11050
Rubinstein, Michael; Sarnak, Peter
57
1994
On the period matrix of a Riemann surface of large genus (with an appendix by J. H. Conway and N. J. A. Sloane). Zbl 0814.14033
Buser, P.; Sarnak, P.
53
1994
Integrals of products of eigenfunctions. Zbl 0833.11020
Sarnak, Peter
30
1994
Number variance for arithmetic hyperbolic surfaces. Zbl 0797.58069
Luo, W.; Sarnak, P.
20
1994
Betti numbers of congruence groups. (Appendix: On representations of compact \(p\)-adic groups by Ze’ev Rudnick). Zbl 0843.11027
Sarnak, Peter; Adams, Scot
19
1994
The \(n\)-level correlations of zeros of the zeta function. Zbl 0837.11047
Rudnick, Zeév; Sarnak, Peter
10
1994
Cusp forms for character varieties. Zbl 0804.11038
Phillips, R.; Sarnak, P.
7
1994
Density of integer points on affine homogeneous varieties. Zbl 0798.11024
Duke, W.; Rudnick, Z.; Sarnak, P.
100
1993
Heegner points, cycles and Maass forms. Zbl 0787.11016
Katok, Svetlana; Sarnak, Peter
60
1993
Relatively prime values of polynomials. Zbl 0790.11069
Hafner, James Lee; Sarnak, Peter; McCurley, Kevin
3
1993
Perturbation theory for the Laplacian on automorphic functions. Zbl 0743.30039
Phillips, R.; Sarnak, P.
20
1992
Ramanujan duals and automorphic spectrum. Zbl 0762.22009
Burger, Marc; Li, J. S.; Sarnak, P.
19
1992
Automorphic spectrum and Fermi’s golden rule. Zbl 0809.30035
Phillips, R.; Sarnak, P.
6
1992
Bounds for multiplicities of automorphic representations. Zbl 0741.22010
Sarnak, Peter; Xue, Xiaoxi
55
1991
Ramanujan duals. II. Zbl 0774.11021
Burger, Marc; Sarnak, P.
36
1991
Diophantine problems and linear groups. Zbl 0743.11018
Sarnak, Peter C.
22
1991
The spectrum of Fermat curves. Zbl 0751.11030
Phillips, R.; Sarnak, P.
13
1991
Poincaré series for \(SO(n,1)\). Zbl 0743.11028
Cogdell, J.; Li, J.-S.; Piatetski-Shapiro, Ilya I.; Sarnak, P.
12
1991
A proof of Siegel’s weight formula. Zbl 0743.11023
Eskin, Alex; Rudnick, Zeév; Sarnak, Peter
9
1991
Irregular distribution of \(\{n\beta{}\} \), \(n=1,2,3,\)…, quadrature of singular integrands, and curious basic hypergeometric series. Zbl 0763.11033
Driver, K. A.; Lubinsky, D. S.; Petruska, G.; Sarnak, P.
6
1991
Some applications of modular forms. Zbl 0721.11015
Sarnak, Peter
78
1990
Determinants of Laplacians; heights and finiteness. Zbl 0703.53037
Sarnak, Peter
16
1990
...and 37 more Documents
all top 5

Cited by 2,448 Authors

58 Sarnak, Peter Clive
39 Bourgain, Jean
26 Zaharescu, Alexandru
25 Blomer, Valentin
20 Lu, Guangshi
20 Rudnick, Zeév
20 Ye, Yangbo
19 Jorgenson, Jay Alan
18 Michel, Philippe Gabriel
17 Kontorovich, Alex V.
17 Miller, Steven J.
17 Oh, Hee
17 Smajlović, Lejla
16 Gamburd, Alexander
16 Shparlinski, Igor E.
15 Gorodnik, Alexander
15 Young, Matthew P.
15 Zelditch, Steve
14 Kowalski, Emmanuel
14 Templier, Nicolas
13 Alon, Noga M.
13 Lubotzky, Alexander
13 Luo, Wenzhi
12 Bétermin, Laurent
12 Jiang, Yujiao
12 Kelmer, Dubi
12 Liu, Jianya
12 Venkatesh, Akshay
11 Choi, Junesang
11 Lau, Yuk-Kam
11 Lemańczyk, Mariusz
11 Phillips, Ralph Saul
11 Wu, Jie
10 Duke, William Drexel
10 Harcos, Gergely
10 Iwaniec, Henryk
10 Katz, Nicholas Michael
10 Koyama, Shin-ya
10 Liu, Sheng-Chi
9 Balkanova, Ol’ga Germanovna
9 Deitmar, Anton
9 Frolenkov, Dmitriĭ Andreevich
9 Jakobson, Dmitry
9 Keating, Jonathan P.
9 Marklof, Jens
9 Petridis, Yiannis N.
9 Pollicott, Mark
9 Shah, Nimish A.
9 Sharp, Richard W.
9 Snaith, Nina Claire
9 Södergren, Anders
8 Anantharaman, Nalini
8 Branson, Thomas Patrick
8 Conrey, John Brian
8 Einsiedler, Manfred Leopold
8 Khan, Rizwanur
8 Kim, Henry H.
8 Lapid, Erez Moshe
8 Lindenstrauss, Elon
8 Linial, Nathan
8 Nelson, Paul D.
8 Nevo, Amos
8 Risager, Morten S.
8 Soundararajan, Kannan
8 Sun, Qingfeng
8 Tang, Hengcai
8 Terras, Audrey Anne
8 Wigman, Igor
7 Andrade, Julio Cesar
7 Bergeron, Nicolas
7 Brooks, Robert Wolfe
7 Chandee, Vorrapan
7 Chang, Sun-Yung Alice
7 Cioabă, Sebastian M.
7 Forrester, Peter J.
7 Fouvry, Etienne
7 Friedman, Joshua S.
7 Gillespie, Timothy L.
7 Imamoḡlu, Özlem
7 Judge, Christopher M.
7 Kułaga-Przymus, Joanna
7 Kurlberg, Pär
7 Lamzouri, Youness
7 Lao, Huixue
7 Larcher, Gerhard
7 Mohammadi, Amir
7 Reznikov, Andre
7 Rivière, Gabriel
7 Royer, Emmanuel
7 Rubinstein, Michael O.
7 Shin, Sug Woo
7 Strömbergsson, Andreas
7 Xiong, Maosheng
6 Aistleitner, Christoph
6 Awonusika, Richard Olu
6 Breuillard, Emmanuel
6 Bruinier, Jan Hendrik
6 Brumley, Farrell
6 Detinko, Alla S.
6 El Abdalaoui, El Houcein
...and 2,348 more Authors
all top 5

Cited in 317 Serials

188 Journal of Number Theory
149 Duke Mathematical Journal
93 Communications in Mathematical Physics
70 Advances in Mathematics
70 Proceedings of the American Mathematical Society
65 Transactions of the American Mathematical Society
61 Israel Journal of Mathematics
57 Inventiones Mathematicae
55 Geometric and Functional Analysis. GAFA
50 Mathematische Zeitschrift
46 International Journal of Number Theory
41 Mathematische Annalen
41 Bulletin of the American Mathematical Society. New Series
39 Annals of Mathematics. Second Series
38 Journal of Functional Analysis
33 Annales de l’Institut Fourier
31 Journal of the American Mathematical Society
30 Journal of the European Mathematical Society (JEMS)
29 Forum Mathematicum
28 Journal of Mathematical Physics
28 Compositio Mathematica
28 Monatshefte für Mathematik
28 The Ramanujan Journal
28 Comptes Rendus. Mathématique. Académie des Sciences, Paris
26 Ergodic Theory and Dynamical Systems
26 Experimental Mathematics
21 Mathematics of Computation
21 Journal für die Reine und Angewandte Mathematik
21 Journal de Théorie des Nombres de Bordeaux
19 Discrete Mathematics
19 Journal of Combinatorial Theory. Series B
18 Journal d’Analyse Mathématique
18 Acta Arithmetica
18 Geometriae Dedicata
18 Combinatorica
17 Mathematical Proceedings of the Cambridge Philosophical Society
17 Mathematika
16 Linear Algebra and its Applications
16 Algebra & Number Theory
15 Functiones et Approximatio. Commentarii Mathematici
14 Journal of Mathematical Analysis and Applications
14 Journal of Algebra
14 Manuscripta Mathematica
14 Theoretical Computer Science
14 Science China. Mathematics
13 Acta Mathematica
13 European Journal of Combinatorics
13 Finite Fields and their Applications
12 Letters in Mathematical Physics
12 The Annals of Probability
12 Proceedings of the Japan Academy. Series A
12 The Journal of Geometric Analysis
12 Journal of the Institute of Mathematics of Jussieu
12 Journal of Modern Dynamics
12 Research in Number Theory
11 Journal of Statistical Physics
11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
10 Discrete Applied Mathematics
10 Archiv der Mathematik
10 Nagoya Mathematical Journal
10 Random Structures & Algorithms
10 Annales Henri Poincaré
9 Lithuanian Mathematical Journal
9 Illinois Journal of Mathematics
9 Combinatorics, Probability and Computing
9 Journal of High Energy Physics
8 Linear and Multilinear Algebra
8 Rocky Mountain Journal of Mathematics
8 Journal of Geometry and Physics
8 Publications Mathématiques
8 Topology and its Applications
8 Probability Theory and Related Fields
8 Discrete & Computational Geometry
8 International Journal of Geometric Methods in Modern Physics
8 Frontiers of Mathematics in China
8 Forum of Mathematics, Sigma
7 Information Processing Letters
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Journal of Computational and Applied Mathematics
7 Journal of Differential Equations
7 Tohoku Mathematical Journal. Second Series
7 Chinese Annals of Mathematics. Series B
7 Revista Matemática Iberoamericana
7 Communications in Partial Differential Equations
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 Computational Complexity
7 Discrete and Continuous Dynamical Systems
7 Acta Mathematica Sinica. English Series
7 Communications in Contemporary Mathematics
7 Research in the Mathematical Sciences
6 Bulletin of the Australian Mathematical Society
6 Communications on Pure and Applied Mathematics
6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
6 Applied Mathematics and Computation
6 Results in Mathematics
6 Information and Computation
6 SIAM Journal on Discrete Mathematics
6 Designs, Codes and Cryptography
6 Algebraic & Geometric Topology
6 Proceedings of the Steklov Institute of Mathematics
...and 217 more Serials
all top 5

Cited in 58 Fields

1,552 Number theory (11-XX)
350 Global analysis, analysis on manifolds (58-XX)
335 Combinatorics (05-XX)
285 Dynamical systems and ergodic theory (37-XX)
229 Topological groups, Lie groups (22-XX)
179 Algebraic geometry (14-XX)
179 Differential geometry (53-XX)
170 Partial differential equations (35-XX)
160 Group theory and generalizations (20-XX)
153 Probability theory and stochastic processes (60-XX)
140 Quantum theory (81-XX)
124 Functions of a complex variable (30-XX)
107 Computer science (68-XX)
75 Linear and multilinear algebra; matrix theory (15-XX)
66 Special functions (33-XX)
63 Operator theory (47-XX)
60 Manifolds and cell complexes (57-XX)
58 Statistical mechanics, structure of matter (82-XX)
55 Several complex variables and analytic spaces (32-XX)
53 Measure and integration (28-XX)
48 Functional analysis (46-XX)
48 Information and communication theory, circuits (94-XX)
44 Convex and discrete geometry (52-XX)
42 Abstract harmonic analysis (43-XX)
28 Ordinary differential equations (34-XX)
27 Harmonic analysis on Euclidean spaces (42-XX)
23 Geometry (51-XX)
20 Numerical analysis (65-XX)
19 Approximations and expansions (41-XX)
17 Relativity and gravitational theory (83-XX)
17 Operations research, mathematical programming (90-XX)
13 Potential theory (31-XX)
12 Real functions (26-XX)
12 Algebraic topology (55-XX)
11 Nonassociative rings and algebras (17-XX)
10 Statistics (62-XX)
9 Mathematical logic and foundations (03-XX)
9 Commutative algebra (13-XX)
9 General topology (54-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Mechanics of particles and systems (70-XX)
7 General and overarching topics; collections (00-XX)
7 Mechanics of deformable solids (74-XX)
6 Difference and functional equations (39-XX)
6 Integral transforms, operational calculus (44-XX)
5 Biology and other natural sciences (92-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Field theory and polynomials (12-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Associative rings and algebras (16-XX)
3 \(K\)-theory (19-XX)
3 Sequences, series, summability (40-XX)
2 Integral equations (45-XX)
2 Fluid mechanics (76-XX)
1 History and biography (01-XX)
1 Optics, electromagnetic theory (78-XX)
1 Astronomy and astrophysics (85-XX)
1 Systems theory; control (93-XX)

Citations by Year

Wikidata Timeline

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