The top student must be diligent.

Chapter 129 Don’t Study Physics

“It’s finally done.”

When all the formulas on the blackboard finally converge to the last result.

【L(1, χ)(log D)^2022】

Zhang Yitang, who was standing in front of him, sighed.

"In summary, we first show that the lower bound on L(1,χ) is related to the distribution of zeros of a class of Dirichlet L-functions in a certain region, derive some results about the gaps between consecutive zeros, and finally evaluate some discrete means of large sieves, which mainly use your circle expansion."

Regarding the technique that Xiao Yi used to introduce the circle method into their problem research by using Xiao's expansion, they temporarily called it the circle method expansion.

"And now we have also proved that L(1, χ) is too small, resulting in an irreconcilable contradiction."

"So - the Landau-Siegel zero point does not exist."

Zhang Yitang turned his head to look at Xiao Yi beside him and sighed: "It's over."

His eyes were full of emotion.

His research on this conjecture was done many years ago.

It was even earlier than when he studied the twin prime conjecture.
In his words, his breakthrough in the twin prime conjecture was just the result of a flash of inspiration, but his research on the Landau-Siegel zero point conjecture has been with him for more than 20 years.

From being an unknown person in the past, he has now become a top scholar in the field of analytic number theory.

And finally, this question was answered today.

Of course, he knew very well that all this was inseparable from Xiao Yi's help.

Looking at the young man in front of me...

It really always brings surprises to people.

Xiao Yi nodded slightly and said, "Yes, it's over."

Then he laughed and said, "It's a bit of a pity that we didn't prove its existence in the end. Otherwise, we might have gotten another $100 million."

As long as the existence of zero point is proved, it is equivalent to proving that the Riemann hypothesis is wrong.

In this way, you can get $100 million provided by the Clay Institute - the seven major mathematical problems of the Millennium were officially proposed by the Clay Institute. Solving any one of them can get a $100 million reward from the Clay Institute.

Hearing this, Zhang Yitang burst into laughter and said, "If this is the case, then it's not a pity, but a tragedy."

"I think the whole mathematics community will be shocked by this."

Once the Riemann hypothesis is proven to be wrong, the lifelong beliefs of quite a few mathematicians may be shattered.

However, Xiao Yi didn't care about this. He shrugged and said, "Whether the Riemann hypothesis is correct or wrong, it can't change just because we want it to."

"Just like the saying goes, objective things cannot be changed by human will."

"If we can prove the existence of the Siegel zero, I think the mathematics community should be happy about it."

"After all, this shows that there may be more to our mathematics than we imagine."

Zhang Yitang was stunned for a moment, then nodded with a smile: "You are right, it is probably just like the physics community, if they discover something beyond their experience, they will probably just feel happy."

Hearing Zhang Yitang say this, Xiao Yi, who didn't know much about the physics world, couldn't help but become interested and asked, "Oh? Why is that?"

Zhang Yitang smiled and said, "You should know about the two dark clouds in physics."

Xiao Yi nodded and said, "Of course I know. It was mentioned in the high school physics textbook."

Zhang Yitang nodded: "Then all those great physicists of the 20th century that you heard about in textbooks became great physicists because they studied these two dark clouds."

"For example, Einstein, Planck, Fermi, Bohr, etc., all of them are like this."

Xiao Yi was stunned, but he soon understood the reason. "That is to say, for the physics community, the more something is beyond their experience, the more it means that there are some things hidden that have never been discovered before, which means that some important results can be discovered from it?"

"That's about it." Zhang Yitang raised his eyebrows. He didn't expect Xiao Yi to react so quickly to such things.

"The physics community is now lamenting that they haven't seen any major breakthroughs in many years. Of course, there's basically nothing that can be done about it. Everything that could be studied was already done in the last century, and the problems left for this century are more troublesome than the last."

"For example, vacuum catastrophe, dark matter, dark energy, or black holes, etc. If you go a bit deeper, there are multi-dimensional universes, string theory, and so on."

Zhang Yitang laughed and said, "These things sound more sci-fi than the last. With the current level of human technology, it is basically unrealistic to solve these problems. For example, there is something called the Higgs particle. In order to verify whether this particle exists, physicists spent tens of billions of dollars to build a particle collider, which is the LHC."

"Tsk, so, even though biology, materials, and other subjects have the most research funding among all the majors, the physics guys really don't care about their lives when they start spending money."

Xiao Yi raised his eyebrows, "It sounds interesting."

"You think it's interesting too?" Zhang Yitang smiled and said, "I used to think it's interesting too, but in the end I still couldn't get away from mathematics."

"Well... let's take the Siegel Zero Point that we have developed now. I think it will be used in physics to verify the theory of the multidimensional universe in the next few years."

"Siegel probably proved in the 1930s that the Landau-Siegel zero does not exist in the range where it cannot be effectively calculated."

"So there is a theory that says that through the Siegel zero point problem, we can divide the universe into two, the first universe has the Siegel zero point, and the second universe does not have the Siegel zero point."

"Before we didn't know which universe we were in, but now we know that we are in a universe where Siegel's zero point does not exist."

"Then, in another universe, it does exist."

"This question sounds very physical."

"For example, according to Einstein's theory of relativity, doesn't it mean that compared to the universe we live in, there is another subspace, and all the properties are completely opposite to those of our universe? Maybe in that space, the mathematical laws are completely changed, so the Siegel zero point exists."

Zhang Yitang shook his head: "Although we cannot imagine how the laws of mathematics are completely changed in another space, maybe... in another space, from their perspective, our complex number domain is their real number domain, and our real number domain is their complex number domain."

Listening to Zhang Yitang's words, Xiao Yi's brows gradually raised. This is completely opposite mathematics?

It sounded even more interesting to him, and he couldn't help but say, "Is it probably equivalent to Luo's geometry?"

"Hmm... about the same." Zhang Yitang nodded. "Of course, there is still a big difference between the two. At least Lobachevsky geometry can still be applied to problems in our world."

Xiao Yi nodded slightly.

There was a brief silence in the office.

Zhang Yitang looked at Xiao Yi's thoughtful expression, and then said jokingly: "Of course, I am just briefly talking to you. Don't suddenly become interested in physics and go study physics, otherwise..."

"I'm afraid the mathematics community will criticize me."

Xiao Yi laughed dumbly, then waved his hand and said, "Not really, not really. Besides, there are still so many unsolved problems in mathematics, and my heart is still in mathematics."

Zhang Yitang said with a smile: "Then don't let your heart be on mathematics while you are wandering off to physics."

Xiao Yi didn't know whether to laugh or cry. How could he talk like a scumbag?

"Okay, let's stop talking about this for now. The next thing to do is to organize the paper."

Zhang Yitang took the responsibility of organizing the paper: "Leave it to me. Perhaps the Landau-Siegel zero-point conjecture will be the last major achievement in my life. It will be a precious memory for me to organize the paper myself."

Xiao Yi naturally did not refuse this and said with a smile: "Since you said so, I certainly won't refuse. After all, organizing the thesis is quite troublesome. However, if you encounter any problems, just come to me."

"OK." Zhang Yitang nodded with a smile.
…

In the next few days, Zhang Yitang began to organize the paper, while Xiao Yi continued to study the connection between the circle method and Xiao's expansion.

Although there are still many difficulties in further exploring the connection between these two methods, Xiao Yi accidentally came up with something new.

"It seems... using this method to factorize numbers is very helpful, right?"

(End of this chapter)