PHD THESIS
Limiting distributions and zeros of Artin L-functions, Ph.D. thesis, University
of British Columbia, 2000. ps
RESEARCH ARTICLES
1. Two appendices that appeared in Ram Murty’s article, Some remarks on the Riemann Hypothesis,
Proceedings of the Conference on L-functions and Cohomology of Arithmetic Groups, Tata Institute of
Fundamental Research, Jan. 1999, Bombay, India. pdf
2. The distribution of values of the summatory function of the Möbius function, Canadian Mathematical Society Notes, Sept. 2001, 7 pages.
pdf
3. The distribution of the summatory function of the Möbius function, Proc. London
Math. Soc. (3) 89 (2004) 361-389. pdf
4. The fourth moment of zeta prime rho, Duke Mathematical Journal, 125 no.2 (2004), 243-266. pdf
5. Large gaps between the zeros of the Riemann zeta function, Journal of Number Theory,
128 (2008) 509-556.
pdf
6. A discrete mean value of the derivative of the Riemann zeta function, Mathematika 54 (2007), 113-155.
pdf
7. Extreme values of zeta prime rho, Journal of the London Mathematical Society (2) 78 (2008), 273-289. pdf
8. The Möbius function in short intervals, Anatomy of Integers, ed.
Jean-Marie De Koninck, Andrew Granville,
Florian Luca,
CRM Proceedings and Lecture Notes, Volume 46, 2008, 247-258.
pdf
9. The Diophantine equation A^4 + 2^d B^2 = C^p
(with Michael A. Bennett and Jordan S. Ellenberg),
International Journal of Number Theory, Vol.6, No. 2 (2010), 1-27.
pdf
10. A note on the gaps between consecutive zeros of the Riemann zeta function
(with Hung Bui and Micah B. Milinovich),
Proceedings of the American Mathematical Society, Vol. 138, No. 12 (2010), 4167-4175.
pdf
11. A note on a conjecture of Gonek (with Micah B. Milinovich, 11 pages), accepted, Functiones et Approximatio Commentarii Mathematici.
pdf
12. Explicit zero-density theorems for Dedekind zeta functions (with Habiba Kadiri),
Journal of Number Theory, Vol.132 (2012), 748-775.
SUBMITTED ARTICLES
13. Lower bounds for moments of zeta prime rho (with Micah B. Milinovich, 7 pages). pdf
14. Nonzero values of Dirichlet L-functions in vertical arithmetic progressions (with Greg Martin, 25 pages).
pdf
IN PREPARATION
A new bound for the least prime ideal in Chebotarev's density theorem (with Habiba Kadiri, 17 pages).
Chebyshev's bias in Galois groups (25 pages).
COLLABORATORS
Michael Bennett, University of British Columbia.
Hung Bui, Universität Zürich.
Jordan Ellenberg, University of Wisconsin.
Habiba Kadiri, University of Lethbridge.
Greg Martin, University of British Columbia.
Micah Milinovich, University of Mississippi.