**Recent Publications and Preprints by Prof. Zeev Rudnick:
**

- Zeev Rudnick, Square-free values of polynomials over the rational function field, Journal of Number Theory, Volume 135, February 2014, Pages 60-66. DOI: 10.1016/j.jnt.2013.08.014.
- Zeev Rudnick and Henrik Ueberschaer, On the eigenvalue spacing distribution for a point scatterer on the flat torus, Annales Henri Poincaré, Volume 15, Issue 1, January 2014 , Pages 1-27. DOI: 10.1007/s00023-013-0241-0.
- Dan Carmon and Zeev Rudnick, The autocorrelation of the Mobius function and Chowla’s conjecture for the rational function field, The Quarterly Journal of Mathematics 2013; DOI: 10.1093/qmath/has047.
- Alexei Entin, Edva Roditty-Gershon and Zeev Rudnick, Low-lying zeros of quadratic Dirichlet L-functions, hyper-elliptic curves and Random Matrix Theory, Geometric and Functional Analysis Volume 23 Issue 4 (2013), 1230–1261. DOI: 10.1007/s00039-013-0241-8.
- Jean Bourgain, Zeev Rudnick and Peter Sarnak
*Local statistics of lattice points on the sphere.*, Contemporary Mathematics vol. 616, (2016), 269-282 (proceedings of Constructive Functions 2014). - J.P. Keating and Z. Rudnick,
*Squarefree polynomials and Mobius values in short intervals and arithmetic progressions*, Algebra & Number Theory vol 10 (no. 2) 2016, 375-420 - Z. Rudnick and I. Wigman
*Nodal intersections for random eigenfunctions on the torus.*, Amer. J. of Math. Volume 138, Number 6, December 2016 pp. 1605–1644. - Z. Rudnick, I. Wigman and N. Yesha
*Nodal intersections for random waves on the 3-dimensional torus.*, Ann. Inst. Fourier (Grenoble) 66 (2016), no. 6, 2455–2484. - Steve Lester and Zeev Rudnick
*Small scale equidistribution of eigenfunctions on the torus.*, Comm. Math. Phys. 350 (2017), no. 1, 279–300. - Zeev Rudnick and Xin Zhang
*Gap distributions in circle packings*, Munster J. Math. 10 (2017), no. 1, 131–170. - Zeev Rudnick
*A metric theory of minimal gaps*, to appear in Mathematika. - Zeev Rudnick and Ezra Waxman,
*Angles of Gaussian primes.* - Jean Bourgain, Zeev Rudnick and, Peter Sarnak,
*Spatial statistics for lattice points on the sphere I: Individual results.*, to appear in the Bulletin of the Iranian Mathematical Society (BIMS), special issue in honor of Freydoon Shahidi’s 70′th birthday. - Jon Keating, Brad Rodgers, Edva Roditty-Gershon, and Zeev Rudnick
*Sums of divisor functions in F*, to appear in Math. Zeitschrift._{q}[t] and matrix integrals.

**Publications and Preprints by Dr. Stephen Lester:**

- D. W. Farmer, S. M. Gonek, Y. Lee and S. J. Lester, Mean values of ζ′/ζ(s), correlations of zeros, and the distribution of almost primes, Quarterly Journal of Mathematics. Published online: January 2013. DOI: 10.1093/qmath/has035.
- S. M. Gonek, S. J. Lester and M. B. Milinovich,A note on simple a-points of L-functions, Proceedings of the American Mathematical Society, 140 (2012), no. 12, 4097-4103. DOI: 10.1090/S0002-9939-2012-11275-4.
- H. M. Bui, S. J. Lester, M. B. Milinovich, On Balazard, Saias, and Yor’s equivalence to the Riemann Hypothesis.
- S. J. Lester, On the distribution of the zeros of the derivative of the Riemann zeta-function, submitted for publication.
- Stephen Lester and Nadav Yesha, On the distribution of the divisor function and Hecke eigenvalues.

**Publications and Preprints by Xin Zhang:**

**Publications and Preprints by Alexei Entin:**

- Alexei Entin, Edva Roditty-Gershon and Zeev Rudnick, Low-lying zeros of quadratic Dirichlet L-functions, hyper-elliptic curves and Random Matrix Theory, Geometric and Functional Analysis, Volume 23 Issue 4 (2013), 1230-1261. DOI: 10.1007/s00039-013-0241-8.
- Alexei Entin, On the distribution of zeroes of Artin-Schreier L-functions. Geometric and Functional Analysis, 2012. DOI: 10.1007/s00039-012-0192-5.
- Alexei Entin, Greatest Prime Divisors of Polynomial Values over Function Fields.
- Alexei Entin, Artin-Schreier L-functions and Random Unitary Matrices.

**Publications and Preprints by Edva Roditty-Gershon:**

- Alexei Entin, Edva Roditty-Gershon and Zeev Rudnick, Low-lying zeros of quadratic Dirichlet L-functions, hyper-elliptic curves and Random Matrix Theory, Geometric and Functional Analysis Volume 23 Issue 4 (2013), 1230–1261. DOI: 10.1007/s00039-013-0241-8.
- Edva Roditty-Gershon, Statistics for products of traces of high powers of the Frobenius class of hyperelliptic curves, Journal of Number Theory, 2012. DOI: 10.1016/j.jnt.2011.09.008.

**Publications and Preprints by Nadav Yesha:**

- Nadav Yesha, Eigenfunction statistics for a point scatterer on a three-dimensional torus, Annales Henri Poincaré, February 2014. DOI: 10.1007/s00023-014-0318-4.
- Nadav Yesha, Uniform distribution for the perturbed eigenfunctions of a point scatterer on the three-dimensional torus, Annales Henri Poincaré, Volume 14, Issue 7 ,pp 1801-1836 (2013). DOI: 10.1007/s00023-013-0232-1.
- Stephen Lester and Nadav Yesha, On the distribution of the divisor function and Hecke eigenvalues.

**Publications and Preprints by Dan Carmon:**

- Dan Carmon and Zeev Rudnick, The autocorrelation of the Mobius function and Chowla’s conjecture for the rational function field, Q.J. Math. 65 (2014), no. 1, 53–61.
- Dan Carmon, The autocorrelation of the Möbius function and Chowla’s conjecture for the rational function field in characteristic 2.

Publications and Preprints by Guy Lando:

- Guy Lando, Square-free values over primes.

**Publications and Preprints by Shai Rosenberg:**