Super Doctor of the Universe

"So, Link, did you go to Las Vegas these two days?" Lisa asked after receiving the gem necklace Link gave her: "Did you buy all these with the money you won?"

"Yes." Link said: "How about it, do you still like it?"

"I like it very much." Lisa glanced at the family who were also fiddling with the gifts Link brought back.

Robert was fiddling with the latest fishing rod with a smile, Elizabeth, who was also on vacation at home, couldn't put down the latest bag, and Ambika ran back to the room with the princess dress she just got.

Although she didn't know the specific price, she knew that it cost a lot, which made her a little worried:

"I'm very happy that you can think of us, but you know that gambling is always the winner. You can't indulge in it. You are now a top student at Caltech and will definitely have a bright future in the future..."

Lisa was still worried that Link would be addicted to gambling, so there was some worry in her words.

Robert didn't seem to care much about it.

After all, there were similar activities in the army back then, and even now he occasionally plays a few hands. Link's going to Las Vegas is nothing to Robert.

"I know what you are worried about." Link said with a smile: "In fact, money is just a number to me. I will not indulge in gambling."

Considering that his family and Sheldon's family are quite familiar with each other, Link did not want to spread the news, so he did not say that this was the money he got from counting cards. Anyway, he did not have to tell his family every time he went to Las Vegas in the future.

However, after receiving Link's gift and knowing that Link went to Las Vegas to make a fortune, Peggy immediately guessed what Link had done:

"So you made $83,000 by counting cards in Las Vegas these two days?"

This is not too strange. After all, the two of them had discussed the relevant card counting formulas together. In Peggy's opinion, it was really not nice for Link to do such an interesting thing alone:

"Such an interesting thing, you actually went alone."

"I know you think this is interesting, but you know Peggy, at your current age, the casino will never let you in." Link said: "Of course I promise that when you are old enough, we can also have a chance. Let's go and play together, but the premise is to keep it a secret. "

"Okay, that's settled." Peggy nodded, and then said: "But now we should consider our graduation thesis.

Originally, we planned to complete the thesis in the holiday, but after coming back, you practiced shooting and learned fighting every day, which is useless. As a result, the progress has been slow so far.

When I went to Sheldon's house a few days ago, he said that he had already thought about how to write the graduation thesis. I don't want to fall behind him and be laughed at by him. "

"Okay." Link knew that Peggy's pride was not much worse than Sheldon's, and during this period of time, in order to prepare for the time and space mission, he did seem to be a little unemployed.

Before, he took the initiative to tell Peggy that he would prepare Fermat's conjecture as the content of the graduation thesis, but now the two of them are studying together, and during this period of time, almost all the work has been handed over to Peggy.

But he couldn't explain too much, so he could only say, "Actually, I've been looking for inspiration during this period."

"Looking for inspiration?" Peggy looked at Link with suspicion and said, "You're not saying this on purpose to find an excuse, are you?"

"Of course not." Link knew that with Peggy's personality, if he couldn't come up with a result that satisfied her, he would definitely suffer in the future, so he hurriedly said:

"Before returning to Texas, I said I had some inspiration, but I couldn't grasp the key points. During this period, I practiced shooting, fighting, etc., which gradually made my little inspiration clearer.

Recently, I have read a lot of information about Fermat's conjecture, and many mathematicians have achieved certain results.

After the conjecture was first proposed, many mathematicians followed our habitual method of proving mathematical conjectures, starting with weakening the argument.

First weaken the conjecture, prove the weakened conjecture, and then step by step approach the true conjecture conclusion.

According to 1922, the British The Mordel conjecture proposed by the American mathematician Mordel has now been proven to be valid for n=2, n=3, n=4, and even within 4 million, but I think it is most sensible for us to use the method of elliptic curves and modular curves to prove it. "

After listening to Link, Peggy immediately continued: "I know all of what you said. The relevant arguments are very popular recently. In 1955, Japanese mathematicians proposed a Furuyama-Shimura conjecture, and in 1958, British mathematicians Birch and Swinnerton-Dyer proposed the BSD conjecture.

Finally, in 1984, German mathematician Frey also proposed the "Frei curve" of the relationship between Fermat's theorem and Taniyama-Shimura conjecture. Later, the "Frei curve" was proved, which can be said to have advanced the proof of Fermat's conjecture by a big step.

Now it can be said that as long as the Taniyama-Shimura conjecture is proved, then Fermat's conjecture can most likely be proved. Do you have any ideas? "

"Indeed, I have some ideas. "Link said:

"In elliptic equations, there is something similar to DNA called an E sequence, and in modular forms, there is something similar called an M sequence. If we can successfully pair all E sequences and M sequences, then the conjecture can be proved.

We can pair their first elements and decompose a small part of an elliptic equation into a group..."

Listening to Link's constant talk, Peggy's eyes became brighter and brighter: "Is it using induction? This is indeed a very good method. We can try it. I thought of it. We can do this..."

As she spoke, Peggy came to the blackboard, erased everything she had written before, and then wrote on it, but soon the blackboard was filled with writing.

At home, the two of them didn't prepare so many blackboards. At this time, Link handed over the paper with the calculations ready, and Peggy started writing on it immediately.

At this time, Peggy had already entered the state of research. Looking at what she wrote, Link could only barely keep up with Peggy's ideas. As for asking him to come up with any constructive methods, I'm afraid it would be a bit difficult.

After Link proposed the method he remembered from his previous life, he really couldn't say the details. After all, he only read the relevant introduction because of his interest in his previous life, and he didn't read the details at all.

In this life, Link has a lot of mathematical foundation, and with his current level, it is indeed possible to research it, but relying on him alone, it will take a lot of time, at least years, so if he wants to get the results faster, Peggy's help is indispensable.