# Fan Ge

 PhD candidate - Mathematics, University of Rochester, USA
 My advisor is Prof. Steve Gonek.
 Email: fan (dot) ge (at) rochester (dot) edu
 Research Interest: Number Theory and its relatives
 I am interested in everything related to number theory, including both analytic and algebraic number theory, and the theory of automorphic forms. My current interest includes the Riemann zeta-function, L-functions, and the distribution and additive properties of prime numbers. I also have particular interest in the interface where number theory meets combinatorics, harmonic analysis, probability, etc.
 Research Papers:
 - 10 . The number of zeros of $\zeta’(s)$
 - 9 . Note on the index conjecture in zero-sum theory and its connection to a Dedekind-type sum
 - 8 . Conditional estimates on small distances between ordinates of zeros of $\zeta(s)$ and $\zeta’(s)$
 - 7 . On some universal sums of generalized polygonal numbers (with Z-W. Sun)
 - 6 . The distribution of zeros of $\zeta’(s)$ and gaps between zeros of $\zeta(s)$
 submitted
 - 5 . On the index conjecture in zero-sum theory: singular case
 submitted
 - 4 . On a permutation problem for finite abelian groups (with Z-W. Sun)
 submitted
 - 3. Lower bounds for small fractional moments of quadratic Dirichlet L-functions (with S. Baluyot)
 preprint
 - 2. The mean square discrepancy in the Dirichlet divisor problem (with S. M. Gonek)
 preprint
 - 1. Lower bounds for small fractional moments of L-series associated to Hecke eigencuspforms (with S. Baluyot)
 in preparation