F. Ge

activity

20162023

most citedA combinatorial identity and the finite dual of infinite dihedral group algebra

5 citations · 7 across the 5 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.CO2020

Solution to the index conjecture in zero-sum theory

Fan Ge

A problem in zero-sum theory is to determine all pairs $(k, n)$ for which every minimal zero-sum sequence of length $k$ modulo $n$ has index $1$ . While all other cases have been sol…

math.NT2020

Note on the number of zeros of $ζ^{(k)} (s)$

Fan Ge, Ade Irma Suriajaya

Assuming the Riemann hypothesis, we prove that $N_{k} (T) = \frac{T}{2 π} lo g \frac{T}{4 π e} + O_{k} (\frac{lo g T}{lo g lo g T}),$ where $N_{k} (T)$ is the number of zeros of…

math.CO2020★ 5 cited

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 $γ_{m}$ in the study of divisor functions. As an application, we determine…

Solution to the index conjecture in zero-sum theory

Note on the number of zeros of ζ(k)(s)

A combinatorial identity and the finite dual of infinite dihedral group algebra

Note on the number of zeros of $ζ^{(k)} (s)$