# 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 |