| [1] | P. Kurlberg. A Local Riemann Hypothesis. PhD thesis, Stanford University, 1997. [ bib ] |
| [2] | P. Kurlberg and Z. Rudnick. The distribution of spacings between quadratic residues. Duke Math. J., 100(2):211--242, 1999. [ bib | .pdf ] |
| [3] | D. Bump, K.-K. S. Choi, P. Kurlberg, and J. Vaaler. A local Riemann hypothesis. I. Math. Z., 233(1):1--19, 2000. [ bib | .pdf ] |
| [4] | P. Kurlberg. A local Riemann hypothesis. II. Math. Z., 233(1):21--37, 2000. [ bib | .pdf ] |
| [5] | P. Kurlberg. The distribution of spacings between quadratic residues. II. Israel J. Math., 120(A):205--224, 2000. [ bib | .pdf ] |
| [6] | P. Kurlberg and Z. Rudnick. Hecke theory and equidistribution for the quantization of linear maps of the torus. Duke Math. J., 103(1):47--77, 2000. [ bib | .pdf ] |
| [7] | P. Kurlberg and Z. Rudnick. On quantum ergodicity for linear maps of the torus. Comm. Math. Phys., 222(1):201--227, 2001. [ bib | .pdf ] |
| [8] | P. Kurlberg and Z. Rudnick. Value distribution for eigenfunctions of desymmetrized quantum maps. Int. Math. Res. Not., (18):985--1002, 2001. [ bib | .pdf ] |
| [9] | P. Kurlberg. On a character sum problem of H. Cohn. J. of Number Theory, 92(1):174--181, 2002. [ bib | .pdf ] |
| [10] | P. Kurlberg. On the order of unimodular matrices modulo integers. Acta Arith., 110(2):141--151, 2003. [ bib | .pdf ] |
| [11] | P. Kurlberg and Z. Rudnick. On the distribution of matrix elements for the quantum cat map. Annals of Math., 161(1):489--507, 2005. [ bib | .pdf ] |
| [12] | J. Brzeziński, W. Holsztyński, and P. Kurlberg. On the congruence ax+by1 modulo xy. Experiment. Math., 14(4):391--401, 2005. [ bib | .pdf ] |
| [13] | P. Kurlberg and C. Pomerance. On the period of the linear congruential and power generators. Acta Arith, 119(2):149--169, 2005. [ bib | .pdf ] |
| [14] | L. Fainsilber, P. Kurlberg, and B. Wennberg. Lattice points on circles and discrete velocity models for the Boltzmann equation. SIAM J. Math. Anal., 37(6):1903--1922 (electronic), 2006. [ bib | .pdf ] |
| [15] | L. Fainsilber, P. Kurlberg, and B. Wennberg. The Boltzmann equation on a two-dimensional lattice; theoretical and numerical results. Bull. Inst. Math. Acad. Sin. (N.S.), 2(2):667--685, 2007. [ bib | .pdf ] |
| [16] | P. Kurlberg. Bounds on supremum norms for Hecke eigenfunctions of quantized cat maps. Ann. Henri Poincaré, 8(1):75--89, 2007. [ bib | .pdf ] |
| [17] | P. Kurlberg, L. Rosenzweig, and Z. Rudnick. Matrix elements for the quantum cat map: fluctuations in short windows. Nonlinearity, 20(10):2289--2304, 2007. [ bib | DOI | .pdf ] |
| [18] | P. Kurlberg. Bounds on exponential sums over small multiplicative subgroups. In Additive combinatorics, volume 43 of CRM Proc. Lecture Notes, pages 55--68. Amer. Math. Soc., Providence, RI, 2007. [ bib | .pdf ] |
| [19] | P. Kurlberg and C. Pomerance. Lower bounds on the period of some pseudorandom number generators. Submitted, 46:74--81, 2007. [ bib | .pdf ] |
| [20] | A. Granville and P. Kurlberg. Poisson statistics via the Chinese remainder theorem. Adv. Math., 218(6):2013--2042, 2008. [ bib | DOI | .pdf ] |
| [21] | J. B. Friedlander, P. Kurlberg, and I. E. Shparlinski. Products in residue classes. Math. Res. Lett., 15(6):1133--1147, 2008. [ bib | .pdf ] |
| [22] | P. Kurlberg and Z. Rudnick. The fluctuations in the number of points on a hyperelliptic curve over a finite field. J. Number Theory, 129(3):580--587, 2009. [ bib | .pdf ] |
| [23] | P. Kurlberg. Poisson spacing statistics for value sets of polynomials. Int. J. Number Theory, 5(3):489--513, 2009. [ bib | DOI | .pdf ] |
| [24] | R. L. Benedetto, D. Ghioca, P. Kurlberg, and T. J. Tucker. A gap principle for dynamics. Compos. Math., 146(4):1056--1072, 2010. [ bib | DOI | .pdf ] |
| [25] | P. Kurlberg. On abel prize laureate john tate's work. Medlemsutskicket, Svenska matematikersamfundet, May 2010, pages 7--17, 2010. [ bib | .pdf ] |
| [26] | P. Kurlberg. Björklunds skola i retorikernas våld. Expressen debatt, 26 Nov 2010. [ bib | http ] |
| [27] | P. Kurlberg and I. Wigman. Gaussian point count statistics for families of curves over a fixed finite field. Int. Math. Res. Not. IMRN, (10):2217--2229, 2011. [ bib | .pdf ] |
| [28] | R. L. Benedetto, D. Ghioca, P. Kurlberg, and T. J. Tucker. A case of the dynamical Mordell-Lang conjecture. Math. Ann., 352(1):1--26, 2012. With an appendix by Umberto Zannier. [ bib | DOI | .pdf ] |
| [29] | P. Kurlberg, J. C. Lagarias, and C. Pomerance. Product-free sets with high density. Acta Arith., 155(2):163--173, 2012. [ bib | DOI | .pdf ] |
| [30] | P. Kurlberg, J. C. Lagarias, and C. Pomerance. On sets of integers which are both sum-free and product-free. Integers, 12B(Proceedings of the Integers Conference 2011):Paper No. A4, 9, 2012/13. [ bib | .pdf ] |
| [31] | R. L. Benedetto, D. Ghioca, B. Hutz, P. Kurlberg, T. Scanlon, and T. J. Tucker. Periods of rational maps modulo primes. Math. Ann., 355(2):637--660, 2013. [ bib | DOI | http ] |
| [32] | P. Kurlberg and C. Pomerance. On a problem of Arnold: The average multiplicative order of a given integer. Algebra and Number Theory, 7(4):981--999, 2013. [ bib | DOI | .pdf ] |
| [33] | P. Kurlberg, J. C. Lagarias, and C. Pomerance. The maximal density of product-free sets in Z/nZ. Int. Math. Res. Not. IMRN, (4):827--845, 2013. [ bib | .pdf ] |
| [34] | M. Krishnapur, P. Kurlberg, and I. Wigman. Nodal length fluctuations for arithmetic random waves. Ann. of Math. (2), 177(2):699--737, 2013. [ bib | DOI | .pdf ] |
| [35] | T. Freiberg and P. Kurlberg. On the average exponent of elliptic curves modulo p. Int. Math. Res. Not. IMRN, (8):2265--2293, 2014. [ bib | .pdf ] |
| [36] | P. Kurlberg and H. Ueberschär. Quantum Ergodicity for Point Scatterers on Arithmetic Tori. Geom. Funct. Anal., 24(5):1565--1590, 2014. [ bib | DOI | .pdf ] |
| [37] | P. Kurlberg, F. Luca, and I. E. Shparlinski. On the fixed points of the map x |->xx modulo a prime. Math. Res. Lett., 22(1):141--168, 2015. [ bib | .pdf ] |
| [38] | E. Amerik, P. Kurlberg, K. D. Nguyen, A. Towsley, B. Viray, and J. F. Voloch. Evidence for the Dynamical Brauer--Manin Criterion. Exp. Math., 25(1):54--65, 2016. [ bib | DOI | .pdf ] |
| [39] | P. Kurlberg and I. Wigman. Non-universality of the Nazarov-Sodin constant. C. R. Math. Acad. Sci. Paris, 353(2):101--104, 2015. [ bib | DOI | .pdf ] |
| [40] | J. Juul, P. Kurlberg, K. Madhu, and T. J. Tucker. Wreath products and proportions of periodic points. Int. Math. Res. Not. IMRN, (13):3944--3969, 2016. [ bib | DOI | .pdf ] |
| [41] | P. Kurlberg and H. Ueberschär. Superscars in the šeba billiard. J. Eur. Math. Soc. (JEMS), 19(10):2947--2964, 2017. [ bib | .pdf ] |
| [42] | P. Kurlberg and I. Wigman. On probability measures arising from lattice points on circles. Math. Ann., 367(3-4):1057--1098, 2017. [ bib | DOI | http ] |
| [43] | P. Kurlberg and L. Rosenzweig. Superscars for Arithmetic Toral Point Scatterers. Comm. Math. Phys., 349(1):329--360, 2017. [ bib | DOI | .pdf ] |
| [44] | S. Holmin, N. Jones, P. Kurlberg, C. McLeman, and K. Petersen. Missing class groups and class number statistics for imaginary quadratic fields. Exp. Math., 28(2):233--254, 2019. [ bib | DOI | .pdf ] |
| [45] | S. Holmin, P. Kurlberg, and D. Må nsson. On the free path length distribution for linear motion in an n-dimensional box. J. Phys. A, 51(46):465201, 23, 2018. [ bib | DOI | .pdf ] |
| [46] | A. T. Felix and P. Kurlberg. On the fixed points of the map x|->xx modulo a prime, II. Finite Fields Appl., 48:141--159, 2017. [ bib | DOI | .pdf ] |
| [47] | T. Freiberg, P. Kurlberg, and L. Rosenzweig. Poisson distribution for gaps between sums of two squares and level spacings for toral point scatterers. Commun. Number Theory Phys., 11(4):837--877, 2017. [ bib | DOI | .pdf ] |
| [48] | P. Kurlberg and I. Wigman. Variation of the Nazarov-Sodin constant for random plane waves and arithmetic random waves. Adv. Math., 330:516--552, 2018. [ bib | DOI | .pdf ] |
| [49] | O. Klurman and P. Kurlberg. A note on multiplicative automatic sequences. C. R. Math. Acad. Sci. Paris, 357(10):752--755, 2019. [ bib | DOI | .pdf ] |
| [50] | O. Klurman and P. Kurlberg. A note on multiplicative automatic sequences, II. Bull. Lond. Math. Soc., 52(1):185--188, 2020. [ bib | DOI | .pdf ] |
| [51] | R. de la Breteche, P. Kurlberg, and I. E. Shparlinski. On the number of products which form perfect powers and discriminants of multiquadratic extensions. Int. Math. Res. Not. IMRN, (22):17140--17169, 2021. [ bib | DOI | .pdf ] |
| [52] | P. Kurlberg and L. Rosenzweig. The Chebotarev density theorem for function fields---incomplete intervals. Finite Fields Appl., 73:Paper No. 101838, 15, 2021. [ bib | DOI | .pdf ] |
| [53] | D. Chatzakos, P. Kurlberg, S. Lester, and I. Wigman. On the distribution of lattice points on hyperbolic circles. Algebra Number Theory, 15(9):2357--2380, 2021. [ bib | DOI | .pdf ] |
| [54] | P. Kurlberg, I. Wigman, and N. Yesha. The defect of toral Laplace eigenfunctions and arithmetic random waves. Nonlinearity, 34(9):6651--6685, 2021. [ bib | DOI | .pdf ] |
| [55] | P. Kurlberg. Level Repulsion for Arithmetic Toral Point Scatterers in Dimension 3. Ann. Henri Poincaré, 23(12):4449--4462, 2022. [ bib | DOI | .pdf ] |
| [56] | P. Kurlberg and H. Ueberschär. Non-Gaussian Waves in seba's Billiard. IMRN, (2):932--955, 2023. [ bib | DOI | .pdf ] |
| [57] | P. Kurlberg, S. Lester, and L. Rosenzweig. Superscars for arithmetic point scatters II. Forum Math. Sigma, 11:Paper No. e37, 48, 2023. [ bib | DOI | .pdf ] |
| [58] | P. Kurlberg and G. Zickert. [ bib ] |
| [59] | P. Kurlberg and L. Rosenzweig. Prime and Möbius correlations for very short intervals in Fq[x]. Amer. J. Math., 146(3):607--629, 2024. [ bib | .pdf ] |
| [60] | P. Kurlberg and S. Lester. Poisson spacing statistics for lattice points on circles. Invent. Math., 240(2):537--585, 2025. [ bib | DOI | .pdf ] |
| [61] | P. Kurlberg, A. Ostafe, Z. Rudnick, and I. E. Shparlinski. On quantum ergodicity for higher dimensional cat maps. Comm. Math. Phys., 406(8):Paper No. 174, 29, 2025. [ bib | DOI | .pdf ] |
| [62] | M. Bordignon and P. Kurlberg. Area correlations related to lattice points in discs. Preprint. [ bib | .pdf ] |
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