$\renewcommand{\ensuremath}{} \def\bold{\mathbf} \def\R{\mathbb R} \def\C{\mathbb C} \def\Q{\mathbb Q} \def\Z{\mathbb Z} \def\N{\mathbb N} \def\T{\mathbb T} \def\germ{\mathfrak}$
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The highest lowest zero of general $L$-functions J. Number Theory 147 2015 364 – 373.
Varieties via their L-functions 2015 preprint.
2015
Pair correlation of the zeros of the derivative of the Riemann $\xi$-function J. Lond. Math. Soc. (2) 90 2014 1 241 – 269.
Evaluating $L$-functions with few known coefficients LMS J. Comput. Math. 17 2014 1 245 – 258.
2014
Survey article: Characterizations of the Saito-Kurokawa lifting Rocky Mountain J. Math. 43 2013 6 1747 – 1757.
Mean values of $\zeta'/\zeta(s)$, correlations of zeros and the distribution of almost primes Q. J. Math. 64 2013 4 1057 – 1089.
The nontrivial zeros of period polynomials of modular forms Lie on the unit circle Int. Math. Res. Not. IMRN 2013 20 4758 – 4771.
Landau-Siegel zeros and zeros of the derivative of the Riemann zeta function Adv. Math. 230 2012 4-6 2048 – 2064.
Maass forms on GL(3) and GL(4) 2012 preprint.
An optimal choice of Dirichlet polynomials for the Nyman-Beurling criterion 2012 preprint.
2012
Approximation by polynomials and Blaschke products having all zeros on a circle Illinois J. Math. 55 2011 3 1105 – 1118 (2013).
Testing the functional equation of a high-degree Euler product Pacific J. Math. 253 2011 2 349 – 366.
2011
Roots of the derivative of the Riemann-zeta function and of characteristic polynomials Nonlinearity 23 2010 10 2599 – 2621.
2010
Palindromic random trigonometric polynomials Proc. Amer. Math. Soc. 137 2009 5 1835 – 1839.
2009
Autocorrelation of ratios of $L$-functions Commun. Number Theory Phys. 2 2008 3 593 – 636.
Modular forms and $L$-functions with a partial Euler product J. Ramanujan Math. Soc. 23 2008 2 105 – 121.
Lower order terms in the full moment conjecture for the Riemann zeta function J. Number Theory 128 2008 6 1516 – 1554.
Converse theorems assuming a partial Euler product Ramanujan J. 15 2008 2 205 – 218.

2008

The maximum size of $L$-functions J. Reine Angew. Math. 609 2007 215 – 236.
Modeling families of $L$-functions Ranks of elliptic curves and random matrix theory 53 – 69 London Math. Soc. Lecture Note Ser. 341 Cambridge Univ. Press, Cambridge 2007.
A converse theorem for $\Gamma_0(13)$ J. Number Theory 122 2007 2 314 – 323.
L-functions and higher order modular forms 2006 preprint.
Crystallization of random trigonometric polynomials J. Stat. Phys. 123 2006 6 1219 – 1230.
Random polynomials, random matrices and $L$-functions Nonlinearity 19 2006 4 919 – 936.
2006
Maass forms and their $L$-functions 2005 preprint.

Basic analytic number theory Recent perspectives in random matrix theory and number theory 185 – 200 London Math. Soc. Lecture Note Ser. 322 Cambridge Univ. Press, Cambridge 2005.
Deformations of Maass forms Math. Comp. 74 2005 252 1967 – 1982.
Integral moments of $L$-functions Proc. London Math. Soc. (3) 91 2005 1 33 – 104.
Differentiation evens out zero spacings Trans. Amer. Math. Soc. 357 2005 9 3789 – 3811.
2005
Autocorrelation of random matrix polynomials Comm. Math. Phys. 237 2003 3 365 – 395.
2003
The irreducibility of some level 1 Hecke polynomials Math. Comp. 71 2002 239 1263 – 1270 (electronic).
2002
Factoring Hecke polynomials modulo a prime Pacific J. Math. 196 2000 1 123 – 130.
Mean values of $L$-functions and symmetry Internat. Math. Res. Notices 2000 17 883 – 908.
Transition mean values of real characters J. Number Theory 82 2000 1 109 – 120.
2000
Average values of cubic $L$-series Automorphic forms, automorphic representations, and arithmetic (Fort Worth, TX, 1996) 27 – 34 Proc. Sympos. Pure Math. 66 Amer. Math. Soc., Providence, RI 1999.
Hecke operators and the nonvanishing of $L$-functions Topics in number theory (University Park, PA, 1997) 143 – 150 Math. Appl. 467 Kluwer Acad. Publ., Dordrecht 1999.
1999
The ${ GL}(3)$ Mellin transform for twisted non-cuspidal forms of higher level Israel J. Math. 108 1998 291 – 326.
1998
The distribution of the eigenvalues of Hecke operators Acta Arith. 78 1997 4 405 – 409.
1997
Knots and surfaces Mathematical World 6 American Mathematical Society, Providence, RI 1996 viii+101 0-8218-0451-0.
Groups and symmetry Mathematical World 5 American Mathematical Society, Providence, RI 1996 viii+102 0-8218-0450-2.
1996
An extension of Hecke's converse theorem Internat. Math. Res. Notices 1995 9 445 – 463.
Mean values of $\zeta'/\zeta$ and the Gaussian unitary ensemble hypothesis Internat. Math. Res. Notices 1995 2 71 – 82 (electronic).
Counting distinct zeros of the Riemann zeta-function Electron. J. Combin. 2 1995 Research Paper 1, approx. 5 pp. (electonic).
1995

Mean Values of the Logarithmic Derivative of the zeta Function and the GUE Hypothesis 1994 preprint.
Mean value of Dirichlet series associated with holomorphic cusp forms J. Number Theory 49 1994 2 209 – 245.
1994
Long mollifiers of the Riemann zeta-function Mathematika 40 1993 1 71 – 87.
1993