Peter C Sarnak - Publications

Affiliations: 
Mathematics Princeton University, Princeton, NJ 

52 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2019 Kollár AJ, Fitzpatrick M, Sarnak P, Houck AA. Line-Graph Lattices: Euclidean and Non-Euclidean Flat Bands, and Implementations in Circuit Quantum Electrodynamics Communications in Mathematical Physics. 376: 1909-1956. DOI: 10.1007/S00220-019-03645-8  0.313
2018 Kennedy S, Barcelo H, Beheshti R, Vafa C, Coskun I, DeMarco L, Dumas D, Takloo-Bighash R, Lindenstrauss E, Sarnak P, Tabesh Y, Eskin A, Rasooly D, Sapir E, Masur H, et al. Maryam Mirzakhani: 1977–2017 Notices of the American Mathematical Society. 65: 1. DOI: 10.1090/Noti1750  0.497
2018 Sarnak P, Wigman I. Topologies of Nodal Sets of Random Band‐Limited Functions Communications On Pure and Applied Mathematics. 72: 275-342. DOI: 10.1002/Cpa.21794  0.308
2017 Parzanchevski O, Sarnak P. Super-Golden-Gates for PU(2) Advances in Mathematics. 327: 869-901. DOI: 10.1016/J.Aim.2017.06.022  0.311
2016 Bourgain J, Gamburd A, Sarnak P. Markoff triples and strong approximation Comptes Rendus Mathematique. 354: 131-135. DOI: 10.1016/J.Crma.2015.12.006  0.709
2015 Sarnak P, Ubis A. The horocycle flow at prime times Journal Des Mathematiques Pures Et Appliquees. 103: 575-618. DOI: 10.1016/J.Matpur.2014.07.004  0.333
2014 Fuchs E, Meiri C, Sarnak P. Hyperbolic monodromy groups for the hypergeometric equation and Cartan involutions Journal of the European Mathematical Society. 16: 1617-1671. DOI: 10.4171/Jems/471  0.713
2013 Salehi Golsefidy A, Sarnak P. The affine sieve Journal of the American Mathematical Society. 26: 1085-1105. DOI: 10.1090/S0894-0347-2013-00764-X  0.335
2013 Ghosh A, Reznikov A, Sarnak P. Nodal Domains of Maass Forms I Geometric and Functional Analysis. 23: 1515-1568. DOI: 10.1007/S00039-013-0237-4  0.343
2012 Ghosh A, Sarnak P. Real zeros of holomorphic Hecke cusp forms Journal of the European Mathematical Society. 14: 465-487. DOI: 10.4171/Jems/308  0.32
2011 Sarnak P. Recent progress on the quantum unique ergodicity conjecture Bulletin of the American Mathematical Society. 48: 211-228. DOI: 10.1090/S0273-0979-2011-01323-4  0.329
2011 Bourgain J, Gamburd A, Sarnak P. Generalization of Selberg's 3/16 theorem and affine sieve Acta Mathematica. 207: 255-290. DOI: 10.1007/S11511-012-0070-X  0.717
2010 Nevo A, Sarnak P. Prime and almost prime integral points on principal homogeneous spaces Acta Mathematica. 205: 361-402. DOI: 10.1007/S11511-010-0057-4  0.417
2010 Bourgain J, Gamburd A, Sarnak P. Affine linear sieve, expanders, and sum-product Inventiones Mathematicae. 179: 559-644. DOI: 10.1007/S00222-009-0225-3  0.705
2010 Bourgain J, Kontorovich A, Sarnak P. Sector Estimates for Hyperbolic Isometries Geometric and Functional Analysis. 20: 1175-1200. DOI: 10.1007/S00039-010-0092-5  0.332
2010 Sarnak P. The grand riemann hypothesis Milan Journal of Mathematics. 78: 61-63. DOI: 10.1007/S00032-010-0126-3  0.349
2009 Kelmer D, Sarnak P. Strong spectral gaps for compact quotients of products of PSL(2,ℝ) Journal of the European Mathematical Society. 11: 283-313. DOI: 10.4171/Jems/151  0.364
2006 Bourgain J, Gamburd A, Sarnak P. Sieving and expanders**The first author was supported in part by NSF grant DMS-0322370. The second author was supported in part by NSF grant DMS-0111298 and DMS-0501245. The third author was supported in part by Oscar Veblen Fund (IAS) and the NSF Comptes Rendus Mathematique. 343: 155-159. DOI: 10.1016/J.Crma.2006.05.023  0.705
2003 Kim HH, Ramakrishnan D, Sarnak P. Functoriality for the exterior square of GL4 and the symmetric fourth of GL2 Journal of the American Mathematical Society. 16: 139-183. DOI: 10.1090/S0894-0347-02-00410-1  0.329
2003 Böcherer S, Sarnak P, Schulze-Pillot R. Arithmetic and Equidistribution of Measures on the Sphere Communications in Mathematical Physics. 242: 67-80. DOI: 10.1007/S00220-003-0922-5  0.383
2002 Sarnak P, Zaharescu A. Some remarks on Landau-Siegel zeros Duke Mathematical Journal. 111: 495-507. DOI: 10.1215/S0012-7094-02-11134-X  0.553
2001 Rudnick Z, Sarnak P, Zaharescu A. The distribution of spacings between the fractional parts of n2α Inventiones Mathematicae. 145: 37-57. DOI: 10.1007/S002220100141  0.307
2001 Sarnak P. Estimates for Rankin-Selberg L-functions and quantum unique ergodicity Journal of Functional Analysis. 184: 419-453. DOI: 10.1006/Jfan.2001.3783  0.344
2000 Iwaniec H, Sarnak P. The non-vanishing of central values of automorphic L-functions and Landau-Siegel zeros Israel Journal of Mathematics. 120: 155-177. DOI: 10.1007/S11856-000-1275-9  0.361
1999 Katz NM, Sarnak P. Zeroes of Zeta functions and symmetry Bulletin of the American Mathematical Society. 36: 1-26. DOI: 10.1090/S0273-0979-99-00766-1  0.367
1999 Gamburd A, Jakobson D, Sarnak P. Spectra of elements in the group ring of SU(2) Journal of the European Mathematical Society. 1: 51-85. DOI: 10.1007/Pl00011157  0.706
1996 Rudnick Z, Sarnak P. Zeros of principal L-functions and random matrix theory Duke Mathematical Journal. 81: 269-322. DOI: 10.1215/S0012-7094-96-08115-6  0.301
1995 Iwaniec H, Sarnak P. $L^\infty$ norms of eigenfunctions of arithmetic surfaces Annals of Mathematics. 141: 301-320. DOI: 10.2307/2118522  0.33
1995 Luo W, Rudnick Z, Sarnak P. On Selberg's eigenvalue conjecture Geometric and Functional Analysis. 5: 387-401. DOI: 10.1007/Bf01895672  0.334
1994 Rubinstein M, Sarnak P. Chebyshev's bias Experimental Mathematics. 3: 173-197. DOI: 10.1080/10586458.1994.10504289  0.355
1994 Sarnak P, Adams S, Rudnick Z. Betti numbers of congruence groups Israel Journal of Mathematics. 88: 31-72. DOI: 10.1007/Bf02937506  0.366
1994 Luo W, Sarnak P. Number variance for arithmetic hyperbolic surfaces Communications in Mathematical Physics. 161: 419-432. DOI: 10.1007/Bf02099785  0.321
1994 Rudnick Z, Sarnak P. The behaviour of eigenstates of arithmetic hyperbolic manifolds Communications in Mathematical Physics. 161: 195-213. DOI: 10.1007/Bf02099418  0.302
1994 Buser P, Sarnak P. On the period matrix of a Riemann surface of large genus (with an Appendix by J.H. Conway and N.J.A. Sloane) Inventiones Mathematicae. 117: 27-56. DOI: 10.1007/Bf01232233  0.395
1993 Duke W, Rudnick Z, Sarnak PC. Density of integer points on affine homogeneous varieties Duke Mathematical Journal. 71: 143-179. DOI: 10.1215/S0012-7094-93-07107-4  0.563
1993 Katok S, Sarnak P. Heegner points, cycles and Maass forms Israel Journal of Mathematics. 84: 193-227. DOI: 10.1007/Bf02761700  0.382
1992 Burger M, Li JS, Sarnak P. Ramanujan duals and automorphic spectrum Bulletin of the American Mathematical Society. 26: 253-257. DOI: 10.1090/S0273-0979-1992-00267-7  0.39
1991 Sarnak P, Xue X. Bounds for multiplicities of automorphic representations Duke Mathematical Journal. 64: 207-227. DOI: 10.1215/S0012-7094-91-06410-0  0.313
1991 Eskin A, Rudnick Z, Sarnak P. A proof of siegel’s weight formula International Mathematics Research Notices. 1991: 65-69. DOI: 10.1155/S1073792891000090  0.535
1991 Driver KA, Lubinsky DS, Petruska G, Sarnak P. Irregular distribution of {nβ}, n=1,2,3,..., quadrature of singular integrands, and curious basic hypergeometric series Indagationes Mathematicae. 2: 469-481. DOI: 10.1016/0019-3577(91)90032-3  0.323
1989 Osgood B, Phillips R, Sarnak P. Moduli Space, Heights and Isospectral Sets of Plane Domains The Annals of Mathematics. 129: 293. DOI: 10.2307/1971449  0.341
1985 Deshouillers JM, Iwaniec H, Phillips RS, Sarnak P. Maass cusp forms. Proceedings of the National Academy of Sciences of the United States of America. 82: 3533-4. PMID 16593560 DOI: 10.1073/Pnas.82.11.3533  0.31
1985 Sarnak PC. Class numbers of indefinite binary quadratic forms II Journal of Number Theory. 21: 333-346. DOI: 10.1016/0022-314X(85)90060-5  0.31
1985 Phillips RS, Sarnak P. The laplacian for domains in hyperbolic space and limit sets of Kleinian groups Acta Mathematica. 155: 173-241. DOI: 10.1007/Bf02392542  0.316
1985 Phillips RS, Sarnak P. On cusp forms for co-finite subgroups of PSL(2,ℝ) Inventiones Mathematicae. 80: 339-364. DOI: 10.1007/Bf01388610  0.32
1985 Epstein C, Hafner JL, Sarnak P. Zeros of L-functions attached to Maass forms Mathematische Zeitschrift. 190: 113-128. DOI: 10.1007/Bf01159169  0.351
1985 Phillips RS, Sarnak P. The weyl theorem and the deformation of discrete groups Communications On Pure and Applied Mathematics. 38: 853-866. DOI: 10.1002/Cpa.3160380614  0.334
1984 Sarnak P. Domains in Hyperbolic Space and Limit Sets of Kleinian Groups North-Holland Mathematics Studies. 92: 485-500. DOI: 10.1016/S0304-0208(08)73734-4  0.338
1983 Sarnak P. The arithmetic and geometry of some hyperbolic three manifolds Acta Mathematica. 151: 253-295. DOI: 10.1007/Bf02393209  0.347
1983 Goldfeld D, Sarnak P. Sums of Kloosterman sums Inventiones Mathematicae. 71: 243-250. DOI: 10.1007/Bf01389098  0.308
1982 Sarnak P. Spectral behavior of quasi periodic potentials Communications in Mathematical Physics. 84: 377-401. DOI: 10.1007/Bf01208483  0.305
1980 Sarnak P. Spectra of singular measures as multipliers on Lp Journal of Functional Analysis. 37: 302-317. DOI: 10.1016/0022-1236(80)90046-4  0.323
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