Some identities for the Riemann zeta function

The conditional convergence of the Dirichlet series of an L-function

Lower order terms in the full moment conjecture for the Riemann zeta function , with J.B. Conrey, D. Farmer, J.P. Keating, and N.C. Snaith, Journal of Number Theory, Volume 128, Issue 6, June 2008, 1516-1554.

Hide and Seek- a naive factoring algorithm

Discretisation for odd quadratic twists , with J.B. Conrey, N.C. Snaith, and M. Watkins, Proceedings of Ranks of Elliptic Curves and Random Matrix, Cambridge University Press, 2007.

Secondary terms in the number of vanishings of quadratic twists of elliptic curve L-functions , with J.B. Conrey, A. Pokharel, and M. Watkins, Proceedings of Ranks of Elliptic Curves and Random Matrix, Cambridge University Press, 2007.

Moments of the derivative of the Riemann zeta-function and of characteristic polynomials , with J.B. Conrey, and N.C. Snaith, Communications in Mathematical Physics, 267 (2006), no. 3, 611-629.

Random Matrix Theory and the Fourier Coefficients of Half-Integral Weight Forms , with J.B. Conrey, J.P. Keating, and N.C. Snaith, Experimental Mathematics, 15 (2006), no. 1.

Computational methods and experiments in analytic number theory, In: Recent Perspectives in Random Matrix Theory and Number Theory, F. Mezzadri and N.C. Snaith editors, 407-483, 2005. High resolution version of the Figure 6 in the paper: compressed postscript.

Integral moments of L-functions, with B. Conrey, D. Farmer, J.P. Keating, and N.C. Snaith. Proceedings of the London Mathematical Society (3) 91 (2005), 33-104.

Autocorrelation of Random Matrix Polynomials, with B. Conrey, D. Farmer, J.P. Keating, and N.C. Snaith. Communications in Mathematical Physics 237 (2003), no.3, 365-395.

On the frequency of vanishing of quadratic twists of modular L-functions, with J.B. Conrey, J.P. Keating, and N.C. Snaith. Proceedings of the Millenium Number Theory Conference, editor, B.C. Berndt et al A.K. Peters, Ltd, Boston, 1 (2001) 301-316.

Low lying zeros of L-functions and random matrix theory. Duke Mathematical Journal 109 (2001), no. 1, 147-181.

Zeros of Dirichlet L-functions near the real axis and Chebyshev's bias, with Carter Bays, Kevin Ford, Richard Hudson. Journal of Number Theory 87 (2001), no. 1, 54-76.

Jumping champions, with Andrew Odlyzko, and Marek Wolf. Experimental Mathematics 8 (1999), no. 2, 107-118.

On the computation of modular polynomials for elliptic curvess, Ian Blake, Janos Csirik, and Gadiel Seroussi, Hewlett-Packard Laboratories technical report, 1999.

Evidence for a spectral interpretation of the zeros of L-functions. Princeton Ph.D. thesis, June 1998.

The number of intersection points made by the diagonals of a regular polygon, with Bjorn Poonen. SIAM Journal on Discrete Mathematics 11 (1998), no. 1, 135-156.

On a conjecture of Helleseth regarding pairs of binary m-sequences, with A.R. Calderbank, Gary McGuire, and Bjorn Poonen. IEEE Transactions on Information Theory 42 (1996), no. 3, 988-990.

Chebyshev's bias, with Peter Sarnak. Experimental Mathematics 3 (1994), no. 3, 173-197.

A simple heuristic proof of Hardy and Littlewood's conjecture B, American Mathematical Monthly 100 (1993), no. 5, 456-460.

A formula and a proof of the infinitude of primes, American Mathematical Monthly 100 (1993), no. 4, 388-392.