Tianfang Qi

collaborators

2 papers

math.NT2019

Multiple Mertens evaluations

Tianfang Qi, Su Hu

The Mertens' first theorem gives us the following asymptotic formula \begin{equation*} \sum_{\substack{p\leq x\\ p~prime}}\frac{lnp}{p}=lnx+O(1), \end{equation*} and the Mertens' s…

math.NT2018

Ramanujan expansions of arithmetic functions of several variables over $F_{q} [T]$

Tianfang Qi, Su Hu

Let $A = F_{q} [T]$ be the polynomial ring over finite field $F_{q}$ , and $A_{+}$ be the set of monic polynomials in $A$ . In this paper, w…

Multiple Mertens evaluations

Ramanujan expansions of arithmetic functions of several variables over Fq​[T]

Ramanujan expansions of arithmetic functions of several variables over $F_{q} [T]$