Publications/Preprints

1. P. Kurlberg, Z. Rudnick. The distribution of spacings between quadratic residues. Duke Math. J., 100(2):211-242, 1999. MR1722952.
2. D. Bump, K.K.S. Choi, P. Kurlberg, J. Vaaler. A local Riemann hypothesis. I. Math. Z., 233(1):1-19, 2000. MR1738342.
3. P. Kurlberg. A local Riemann hypothesis. II. Math. Z., 233(1):21-37, 2000. MR1738343.
4. P. Kurlberg. The distribution of spacings between quadratic residues. II. Israel J. Math., 120(A):205-224, 2000. MR1815376.
5. P. Kurlberg, Z. Rudnick. Hecke theory and equidistribution for the quantization of linear maps of the torus. Duke Math. J., 103(1):47-77, 2000. MR1758239.
6. P. Kurlberg, Z. Rudnick. On Quantum Ergodicity for Linear Maps of the Torus. Comm. Math. Phys., 222(1):201-227, 2001. MR1853869.
7. P. Kurlberg, Z. Rudnick. Value distribution for eigenfunctions of desymmetrized quantum maps. Int. Math. Res. Not., 2001(18):985-1002, 2001. MR1860122.
8. P. Kurlberg. On a character sum problem of H. Cohn. J. of Number Theory, 92(1):174-181, 2002. MR1880592.
9. P. Kurlberg. On the order of unimodular matrices modulo integers. Acta Arith., 110(2):141-151, 2003. MR2008081.
10. P. Kurlberg, Z. Rudnick. On the distribution of matrix elements for the quantum cat map. Annals of Math., 161(1):489-507, 2005. MR2150390.
11. J. Brzezinski, W. Holsztynski, P. Kurlberg. On the congruence $ax+by\equiv1$ modulo $xy$. Experiment. Math., 14(4):391-401, 2005. MR2193402.
12. P. Kurlberg, C. Pomerance. On the period of the linear congruential and power generators. Acta Arith, 119(2):149-169, 2005. MR2167719.
13. L. Fainsilber, P. Kurlberg, B. Wennberg. Lattice points on circles and discrete velocity models for the Boltzmann equation. SIAM J. Math. Anal., 37(6):1903-1922 (electronic), 2006. MR2213399.
14. L. Fainsilber, P. Kurlberg, 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. MR2325732.
15. P. Kurlberg. Bounds on supremum norms for Hecke eigenfunctions of quantized cat maps. Ann. Henri Poincaré, 8(1):75-89, 2007. MR2299193.
16. P. Kurlberg, L. Rosenzweig, Z. Rudnick. Matrix elements for the quantum cat map: fluctuations in short windows. Nonlinearity, 20(10):2289-2304, 2007. MR2356110 (2008k:81117).
17. P. Kurlberg. Bounds on exponential sums over small multiplicative subgroups. In Additive combinatorics, vol. 43 of CRM Proc. Lecture Notes, pages 55-68. Amer. Math. Soc., Providence, RI, 2007. MR2359468 (2009k:11129).
18. P. Kurlberg, C. Pomerance. Lower bounds on the period of some pseudorandom number generators. In Proceedings of Conference on Algorithmic Number Theory 2007, vol. 46 of TUCS Gen. Pub., pages 74-81. Turku Cent. Comput. Sci., Turku, Finland, 2007.
19. A. Granville, P. Kurlberg. Poisson statistics via the Chinese remainder theorem. Adv. Math., 218(6):2013-2042, 2008. MR2431668 (2009k:11126).
20. J.B. Friedlander, P. Kurlberg, I.E. Shparlinski. Products in residue classes. Math. Res. Lett., 15(6):1133-1147, 2008. MR2470390.
21. P. Kurlberg, 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. MR2488590.
22. P. Kurlberg. Poisson spacing statistics for value sets of polynomials. Int. J. Number Theory, 5(3):489-513, 2009. MR2529087.
23. R.L. Benedetto, D. Ghioca, P. Kurlberg, T.J. Tucker. The Dynamical Mordell-Lang Conjecture. Submitted.
24. R.L. Benedetto, D. Ghioca, P. Kurlberg, T.J. Tucker. A gap principle for dynamics. To appear in Compositio Mathematica.
25. P. Kurlberg, I. Wigman. Gaussian point count statistics for families of curves over a fixed finite field. Preprint.

Links to my coauthors: Robert Benedetto, Juliusz Brzezinski, Daniel Bump, Stephen Choi, Laura Fainsilber, John Friedlander, Dragos Ghioca, Andrew Granville, Carl Pomerance, Lior Rosenzweig, Zeev Rudnick, Igor Shparlinski, Thomas Tucker, Jeffrey Vaaler, Bernt Wennberg.

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