My primary research interest is number theory, with focus on the Riemann zeta-function and other L-functions.

Journal papers:

9. The number of zeros of L’(s,χ), Acta Arith. 190 (2019), 127–138. pdf.

8. Some multidimensional integrals in number theory and connections with the Painleve V equation, (with E. Basor and M.O. Rubinstein), J. Math. Phys. 59, 091404 (2018).  pdf.

7. On the index conjecture in zero-sum theory: singular case, Int. J. Number Theory 14 (2018), no. 2, 355–364.  pdf.

6. The distribution of zeros of ζ'(s) and gaps between zeros of ζ(s), Adv. Math. 320 (2017), 574-594.  pdf.

5. The number of zeros of ζ'(s), Int. Math. Res. Not. IMRN 2017 (5): 1578-1588.  pdf.

4. On a permutation problem for finite abelian groups, (with Z-W. Sun), Electron. J. Combin. 24 (2017) P1.17.  pdf.

3. Conditional estimates on small distances between ordinates of zeros of ζ(s) and ζ'(s), J. Number Theory 165 (2016), 304-313.  pdf.

2. Note on the index conjecture in zero-sum theory and its connection to a Dedekind-type sum, J. Number Theory 168 (2016), 128-134.  pdf.

1. On some universal sums of generalized polygonal numbers, (with Z-W. Sun), Colloq. Math. 145 (2016), 149-155.  pdf.


5. The mean square discrepancy in the Dirichlet divisor problem, (with S. M. Gonek)

4. Lower bounds for small fractional moments of quadratic Dirichlet L-functions, (with S. Baluyot)

3. Critical points of polynomials with roots on the unit circle, (with S. M. Gonek)

2. Note on the number of zeros of $\zeta^{(k)}(s)$, (with A. Suriajaya)

1. Lower bounds for small fractional moments of L-series associated to Hecke eigencuspforms, (with S. Baluyot)

0. When arithmetic mean equals quadratic mean on the unit circle.