Vera's fair, pretty face gradually flushed red. Her lips, pressed into a W shape, puffed up, and a trace of stubbornness appeared on her face as she asked unwillingly,
"Why?"
If there had been a problem with her calculations and someone had pointed out her mistake, she would have accepted it. But she simply could not accept having her line of proof dismissed outright without any reason.
Even if it was her most respected mentor.
Seeing straight through Vera's thoughts, Lu Zhou sighed softly and patiently explained,
"The curve Re(s)=1-c ln[|Im(s)|+2] approaches Re(s)=1 infinitely closely as Im(s)→∞. If you use the Group-Structure Method, there is no way around this conclusion. So if you want to proceed through the Critical Strip approach, you must find another path. That is why, when proving the existence of a value for ε, I did not consider the Group-Structure Method and instead used Algebraic Geometry."
No one understood the Group-Structure Method better than Lu Zhou himself, from the Twin Prime Conjecture to the Goldbach Conjecture.
Especially after seeing Deligne introduce mappings of homology groups and Fourier transforms while proving that "all zeros of the Zeta Function of a d-dimensional algebraic variety over a finite field lie on the lines Re(s)=1/2, 3/2, ..., (2d-1)/2 in the complex plane," the Group-Structure Method had been the first thing Lu Zhou considered.
However, things had not gone so smoothly.
When he tried to introduce Group Theory into research on the Riemann zeta function, he quickly discovered that this road was fundamentally impassable.
Looking at the little girl whose face had flushed red, Lu Zhou continued,
"Research into the Critical Strip problem appears to be an Analytic Number Theory problem, but in essence, it is most likely a Complex Analysis problem. Compared to introducing the theories of the Group-Structure Method