1. Bounds and algorithms for the K-Bessel function of imaginary order, with Andreas Strömbergsson and Holger Then, submitted.
  2. Weil's converse theorem with poles, with M. Krishnamurthy, submitted.
  3. Turing and the primes, extended version of a chapter to appear in the forthcoming book The Once and Future Turing - Computing the World.
  4. On Mullin's second sequence of primes, to appear in Integers, special issue in memory of John Selfridge.
  5. A strengthening of the GL(2) converse theorem, with M. Krishnamurthy, Compos. Math. 147 (2011), no. 4, 669-715.
  6. Uncovering a new L-function, AMS Notices 55 (2008), no. 9, 1088-1094.
  7. Numerical computations with the trace formula and the Selberg eigenvalue conjecture, with Andreas Strömbergsson, Crelle 607 (2007), 113-161.
  8. Artin's conjecture, Turing's method and the Riemann hypothesis, Exp. Math. 15 (2006), no. 4, 385-407.
  9. Turing and the Riemann hypothesis, AMS Notices 53 (2006), no. 10, 1208-1211.
  10. Effective computation of Maass cusp forms, with Andreas Strömbergsson and Akshay Venkatesh, IMRN vol. 2006, article ID 71281, 34 pages, 2006.
  11. Quadratic class numbers and character sums, Math. Comp. 75 (2006), 1481-1492.
  12. Numerical tests of modularity, JRMS 20 (2005), no. 4, 283-339. This is an abbreviated version of my Ph.D. thesis.
  13. Poles of Artin L-functions and the strong Artin conjecture, Ann. Math. 158 (2003), no. 3, 1089-1098.
  14. A test for identifying Fourier coefficients of automorphic forms and application to Kloosterman sums, Exp. Math. 9 (2000), no. 4, 571-581. See also the associated calculations of Kloosterman sums.