S. Tan

collaborators

2 papers

math.GM2026

Spatial Complex Variables and Applications

Shanguang Tan

We introduce a new kind of numbers $s = e_{x y} (x + i y) + z$ called Spatial Complex Numbers and establish a new theory of Spatial Complex Variables here where $e_{x y}$ denotes the $x y$ co…

math.GM2025

On $∣ Li (x) - I ¨ (x) ∣$ and primes in short intervals

Shan-Guang Tan

Two topics of the number theory are discussed in this paper. First, we prove that given each natural number $x \geq 1 0^{3}$ , we have \[ |{\rm Li}(x)-Ï(x)|\leq c\sqrt{x}\log x\texttt…

Spatial Complex Variables and Applications

On ∣Li(x)−I¨(x)∣ and primes in short intervals

On $∣ Li (x) - I ¨ (x) ∣$ and primes in short intervals