The content of this email is different from all other emails.

The sender of this email is also a stranger who has never met Chen Zhou.

However, in the field of number theory, Chen Zhou and this stranger are both known as young genius mathematicians.

It's just that, unlike Chen Zhou, in the past two years, he has solved number theory problems one after another.

The stranger seemed a little silent.

The silence here, of course, refers to academic achievement.

Rather than a comparison of the math prizes won by the two.

Because, in the past two years, this stranger has won the SASTRA Ramanujan Medal, the Whitehead Prize of the London Mathematical Society, and the European Mathematical Society Award, etc.

This is much stronger than Chen Zhou's ability to win awards.

Although Chen Zhou at this time is enough to match the awards of the Ramanujan Award.

However, they didn't send a notice or tell Chen Zhou that he had won the award, so Chen Zhou naturally couldn't ask for one himself.

Chen Zhou frowned slightly and read the email again.

Chen Zhou suddenly remembered one thing, it seems that among the winning candidates of this year's Kohl Number Theory Award, the most popular is this person.

It's a pity that it has now been confirmed by multiple sources.

The Cole Number Theory Award should have been cut off by himself.

This genius mathematician in the field of number theory did not continue his own path to winning the prize.

If you want to win the Kohl Number Theory Prize, it is estimated that you will have to wait for the next one.

"James Maynard ......"

Chen Zhou read the name softly, thinking about how to reply to this email from a competitor.

This is the name of this strange sender, a young British mathematician.

Speaking of James Maynard, it may not be as rebellious as Tao Zhexuan.

However, at the age of 22, he received a master's degree from the University of Cambridge and a doctorate from the University of Oxford at the age of 26.

That is, at the age of 26, he lowered the upper limit of the prime interval in the twin prime conjecture from 70 million to 600.

The previous proof results of Zhang Yitang have been greatly optimized.

Also based on James Maynard's method, there is a team that narrows the prime interval to 246.

And, according to this method, the prime interval can be even smaller.

It can be said that James Maynard's approach has brought about a breakthrough in milestones.

So much so that James Maynard was personally praised by Tao Zhexuan: "To be honest, his way of describing is actually cleaner than mine...... Facts have also proved that his method is slightly stronger......"

As for why Tao Zhexuan said this praise, it was because in about the same time, Tao Zhexuan on the other side of the ocean also came to basically the same result on the same issue.

According to media reports, James Maynard had just graduated from his Ph.D. at this time, and he was just a postdoc who was not very well-known.

With Tao Zhexuan's status and fame at that time, he could publish this study together with James Maynard.

However, Tao Zhexuan gave up this opportunity out of cherishing his talents.

He was afraid of his fame and overshadowed the achievements of the young mathematician.

These words were said by Tao Zhexuan in an interview.

And it turns out that James Maynard does have a lot of potential.

In the years following his Ph.D., he made great strides in the field of number theory, which made him famous.

He has also won many mathematics awards, and is one of the popular candidates for this year's Kohl Number Theory Prize.

Of course, what James Maynard relied on was certainly not a further proof of the twin prime conjecture.

After all, after Chen Zhou solved the Jebov conjecture, the twin prime conjecture has been completely solved by Tao Zhexuan and Zhang Yitang.

In the face of this final result, any progress in the process is insignificant.

James Maynard relied on the Duffin-Schaeffer conjecture, a puzzle that had puzzled mathematicians for nearly 80 years.

Why do you say Zeng?

That's because James Maynard has successfully solved the Duffin-Schaeffer conjecture.

The Duffin-Schaeffer conjecture is an important conjecture in the Diophantine approximation, which was proposed by physicist Richard Duffin and mathematician Albert Schaeffer in 1941.

Diophantine approximation is a branch of number theory that studies the approximation of real numbers with rational numbers.

To put it simply, most real numbers are irrational numbers like π and √2.

They cannot be expressed as fractions.

So, Richard Duffin and Albert Schaeffer came up with a conjecture.

Suppose f:N→R≥0 is a real function with positive values, and only if the series q=1→∞∑ f(q)φ(q)/q=∞ are divergent.

That is, q>0, φ(q) is the Euler function, which represents the number of positive integers that are smaller than q and coprime with q.

For irrational α, there are an infinite number of rational numbers that satisfy the inequality |α-(p/q)|

In other words, when looking for approximations, the numerator is not considered first, but an infinite number of natural numbers are selected as the denominator.

The numerator is then selected based on the denominator sequence and the specified approximate accuracy range.

As a result, if the infinite series diverges, it means that all irrational numbers have been approximated.

Otherwise, there is no approximation of any irrational numbers.

This conjecture, in rational approximations, is generally considered by mathematicians to be the correct criterion.

But how to prove it has been a puzzle for mathematicians for nearly 80 years.

It wasn't until James Maynard and his collaborators, in a 44-page paper, proved this conjecture in one fell swoop.

Because of this, James Maynard has received praise from many mathematicians.

Among them, Tao Zhexuan, who gave up the signature of the paper because of his talent.

In fact, the Duffin-Schaeffer conjecture, although seemingly simple, actually touches on the profound nature of the natural number system, and is a landmark open question in number theory.

This is also the biggest reason why James Maynard is the big favorite candidate for the Cole Number Theory Prize this time.

But it's a pity that he met Chen Zhou, a demon.

In one year, three world-class mathematical conjectures were killed in a row.

However, it also includes one of the two most important conjectures in the prime interval problem, the Jebov conjecture.

More than that, Chen Zhou's mathematical tool to solve Jepov's conjecture is the method of distributed deconstruction.

It also played a vital role in Tao Zhexuan and Zhang Yitang to solve the twin prime conjecture.

It can't be helped.

In terms of one alone, maybe James Maynard can be compared.

But on the whole, James Maynard can't compare.

Therefore, this competitor, whom he had never met, praised Chen Zhou's work in the field of number theory and Chen Zhou's achievements in an email to Chen Zhou.

In addition, James Maynard also said that he is also studying the distribution deconstruction method used by Chen Zhou.

In addition, James Maynard believes that although the two are direct competitors for the Cole Number Theory Prize.

But no matter who wins the award, the other party should be a respectable opponent.