5 citations · 5 across the 2 of their papers we have counts for
5 papers
Solution to the index conjecture in zero-sum theory
Fan Ge
A problem in zero-sum theory is to determine all pairs for which every minimal zero-sum sequence of length modulo has index . While all other cases have been sol…
A combinatorial identity and the finite dual of infinite dihedral group algebra
Fan Ge, Gongxiang Liu
In this note, we find a combinatorial identity which is closely related to the multi-dimensional integral in the study of divisor functions. As an application, we determine…
Some multidimensional integrals in number theory and connections with the Painlevé V equation
Estelle Basor, Fan Ge, Michael O. Rubinstein
We study piecewise polynomial functions that appear in the asymptotics of averages of the divisor sum in short intervals. Specifically, we express these polynomials as the…
Note on the index conjecture in zero-sum theory and its connection to a Dedekind-type sum
Fan Ge
Let be a minimal zero-sum sequence over a finite cyclic group . The index conjecture states that if and , then has index 1. In this…
Conditional estimates on small distances between ordinates of zeros of and
Fan Ge
Let be a zero of . In \cite{GYi} Garaev and Yıldırım proved that there is a zero of with . Assuming RH, we improve this bou…