Guangqing Bi

activity

20102018

most citedNew Properties of Fourier Series and Riemann Zeta Function

5 citations · 16 across the 8 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.AP2018

On Evaluation of Zeta and Related Functions by Abstract Operators

Guang-Qing Bi

Building on the mapping relations between analytic functions and periodic functions using the abstract operators $cos (h \partial_{x})$ and $sin (h \partial_{x})$ , and by defining the Ze…

math.NT2018

Some Rapidly Converging Series for $ζ (2 n + 1)$ from Abstract Operators

Guang-Qing Bi

The author derives new family of series representations for the values of the Riemann Zeta function $ζ (s)$ at positive odd integers. For $n \in N$ , each of these series repr…

math.AP2018★ 2 cited

Solutions of Cauchy problem for multiple inhomogeneous wave equation

Guang-Qing Bi

We define a class of pseudo-differential operators in a completely new way, which is called the abstract operators and expounded systematically the theory of abstract operators. By…

On Evaluation of Zeta and Related Functions by Abstract Operators

Some Rapidly Converging Series for ζ(2n+1) from Abstract Operators

Solutions of Cauchy problem for multiple inhomogeneous wave equation

Some Rapidly Converging Series for $ζ (2 n + 1)$ from Abstract Operators