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

Journal papers:

11. The mean square discrepancy in the divisor problem, (with S. M. Gonek),  Trans. Amer. Math. Soc., to appear. 

10. Note on the number of zeros of $\zeta^{(k)}(s)$, (with A. Suriajaya),  pdf.  Ramanujan J., to appear. 

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

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

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

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

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

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

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

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

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


4. Solution to the index conjecture in zero-sum theory.

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

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

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.