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 $\zeta’(s)$
    Int. Math. Res. Not. IMRN   (2016); doi: 10.1093/imrn/rnw081
- 9 . Note on the index conjecture in zero-sum theory and its connection to a Dedekind-type sum
    J. Number Theory   168 (2016), 128-134.
- 8 . Conditional estimates on small distances between ordinates of zeros of $\zeta(s)$ and $\zeta’(s)$
    J. Number Theory   165 (2016), 304-313.
- 7 . On some universal sums of generalized polygonal numbers (with Z-W. Sun)
    Colloq. Math.   145 (2016), 149-155.
- 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