"But in your explanation just now, you said you still had five questions here. Does that mean you had already thought of seven questions in advance?"
Xiao Yi nodded. "Yes, more or less seven. As for some relatively simple questions, I didn't include them, because I figured no one would be able to ask those simpler questions anyway."
The reporter nodded, then asked curiously, "Could you briefly introduce what the other five questions are?"
Xiao Yi said, "Um... let me think."
"First, I used a result concerning the distribution of zeros of Dirichlet L-functions in my proof. That is, the zeros of Dirichlet L-functions either lie on the critical line or occur in pairs on either side of it. This involves aspects of the Generalized Riemann Hypothesis, which has yet to be proven, so that is one issue."
"Second, I used one of Deligne's results in my proof: the L-functions of Weil hypersurfaces satisfy the Riemann Hypothesis, from which one can derive that the nontrivial zeros of the Zeta function all lie on the critical line. Here, I assumed that Deligne's result could be extended from positive characteristic to characteristic zero. However, that extension is not self-evident, so this is also a point that can be questioned."
"Third, in analytically continuing the Riemann Zeta function to the entire complex plane, I used Elliptic Inverse Analytic Continuation and introduced a new class of functions to achieve that continuation. In my paper, I called them Y functions. I proved that every Riemann Zeta function could be represented as the product of two Y functions, and that these Y functions could be analytically continued to the entire complex plane. Through this decomposition, the singularity of the Riemann Zeta function at 1 could be avoided, thus achieving analytic continuation across the entire complex plane.