*
Space vectors forming rational angles,
*
with Kiran S. Kedlaya, Alexander Kolpakov, Bjorn Poonen, submitted.

*
The South Caicos Factoring Algorithm,
*
accepted by Integers.

*
Mixed moments of characteristic polynomials of random unitary matrices,
*
with
Emma C. Bailey, Sandro Bettin, Gordon Blower, J. Brian Conrey, Andrei Prokhorov, Nina C. Snaith,
Journal of Math. Phys., 60, (2019).

*
Some multidimensional integrals in number theory and connections with the PainlevĂ© V equation,
*
with Estelle Basor, Fan Ge,
J. Math. Phys., 59, (2018).

*
Riemann's influence in number theory from a computational and experimental perspective,
*
Advanced Lectures in Mathematics, 35 (2016), 633-680.

*
Moments of zeta functions associated to hyperelliptic curves over finite fields,
*
with K. Wu,
Philosophical Transactions of the Royal Society of London A: Mathematical, Physical
and Engineering Sciences 373 (2015), no. 2040.

*
The highest lowest zero of general L-functions
*
with Jonathan Bober, J. Brian Conrey, David W. Farmer, Akio Fujii, Sally Koutsoliotas, Stefan Lemurell, Hiroyuki Yoshida, Journal of Number Theory **147** (2015), 364â€“373.

*
Computing the moment polynomials of the zeta function
*
, with S. Yamagishi, Mathematics of Computation **84** (2015), 425-454.

*
Elliptic curves of high rank and the Riemann zeta function
*
Experimental Mathematics, Volume 22, No. 4 (2013), 465-480.

*
Identities for the Hurwitz zeta function, Gamma function, and L-functions,
*
Ramanujan Journal, Volume 32, Issue 3 (2013), 421--464.

*
Chebotarev sets
*
, with H. Kisilevsky,
Acta Arithmetica 171 (2015), 97-124.

*
Lower order terms for the moments of symplectic and orthogonal families of L-functions
*
, with I.P. Goulden, D.K. Huynh, and Rishikesh, Journal of Number Theory,
Volume 133, Issue 2, February 2013, 639--674.

* The distribution of solutions to XY=N mod a with an application to factoring
integers,
*
Integers, 13 (2013), A12, 1--13.

*
Conjectures and experiments concerning the moments of L(1/2,chi_d)
*
with M. Alderson, Experimental Mathematics, Volume 21, Issue 3 (2012), 307-328.

* Uniform asymptotics for the full moment conjecture of the Riemann zeta function
*
, with G.A. Hiary, Journal of Number Theory, Volume 132, Issue 4, (2012), 820-868.

* Uniform asymptotics of the coefficients of unitary moment polynomials
*
, with G.A. Hiary, Proceedings of the Royal Soc. A, April 8, 2011 467:1073-1100.

* Some identities for the Riemann zeta function,
*
Ramanujan Journal. Volume 27, Issue 1 (2012), pp 29-42.

* 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.

*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.

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