Research

Here I will post my published work. My research interests are the distribution of values of L-functions over function fields and number fields. Explicit results on the distribution of prime numbers and zeros of L-functions.

Published papers:

1. Asymmetric distribution of extreme values of cubic L-functions at s=1, (with P. Darbar, C. David and M. Lalin), accepted at the Journal of the London Mathematical Society.
2. Selberg's Central Limit Theorem for Quadratic Dirichlet L-functions over Function Fields, (with P. Darbar), Monatsh Math 201, 1027–1058 (2023), DOI: 10.1007/s00605-023-01853-y.
3. Moments and Distribution of Values of Dirichlet L-functions over Function Fields inside the critical strip, Acta Arithmetica 201 (2021), 329-369. DOI: 10.4064/aa200308-9-8
4. Primes in Short Intervals: Heuristics and Calculations, (with A. Granville), Experimental Mathematics (2021), 1-27. DOI: 10.1080/10586458.2021.1927256
5. Sharper Bounds for the Chebyshev function Theta(x) (with S. Broadbent, H. Kadiri, N. Ng & K. Wilk), Math. Comp. 90 (2021), no. 331, 2281-2315.
6. Complex Moments and Distribution of values of L(1,chi_D) over Function Fields with applications to Class Numbers, Mathematika, (2019), 65(2), 236-271.
7. Explicit Zero Density for the Rieman Zeta Function, (with H. Kadiri & N. Ng), J. Math. Anal. Appl. (2018), 465, no. 1, 22-46.
8. Explicit Bounds for L-functions at the edge of the critical strip, J. Number Theory, (2018), Vol. 188, 186-209.
9. Short Effective Intervals containing Primes, (with H. Kadiri), Integers 14 (2014), No. A61, 18 pp.