Although the Twin Prime Conjecture and the Riemann Hypothesis are two independent problems from the perspective of number theory, they both share a common feature in being closely related to the distribution of prime numbers.
It can be said that if one could truly prove the Twin Prime Conjecture, the mathematical tools and techniques used would likely also be helpful in providing proof for the Riemann Hypothesis.
Qiao Yu is eager to prove himself as soon as possible. If previously telling Tian Yanzhen that he wanted to tackle this proposition directly was somewhat boastful, now he genuinely has his mind set on it.
On August 17th, after lunch, Qiao Yu, as usual, was flipping through a paper in his small study room.
Today, Qiao Yu was researching "The Langlands Basic Lemma and its Applications."
This is a paper by a Vietnamese mathematician, Ngo Bao Chau, which is very interesting. In proving the Langlands Program's Self-Conserving Forms Basic Lemma, he employed geometric methods.
