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Chapter 438 A Respectable Opponent
Chapter 438 A Respectable Opponent
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, both Chen Zhou and this stranger are known as young genius mathematicians.
However, unlike Chen Zhou, in the past two years, he has solved number theory problems one after another.
The stranger seemed a little silent.
Of course, the silence here refers to academic achievements.
Rather than a comparison of the mathematics awards won by the two.
Because, this stranger, in the past two years, has won the SASTRA Ramanujan Award, the London Mathematical Society Whitehead Award, and the European Mathematical Society Award, etc.
This is much stronger than Chen Zhou's ability to win prizes.
Although Chen Zhou at this time is enough to match the Ramanujin Award.
However, they didn't send out a notice, didn't tell Chen Zhou the award, so it was naturally impossible for Chen Zhou to ask for one by himself.
Chen Zhou frowned slightly, and read the email again.
Chen Zhou suddenly remembered something. It seemed that this person was the most popular candidate for the Cole Number Theory Award.
Unfortunately, it has now been confirmed by multiple sources.
The Cole Prize in Number Theory should have been cut off by himself.
This talented mathematician in the field of number theory did not continue his path to winning prizes.
If you want to win the Cole Prize in Number Theory, you may 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.
Such was the name of the strange sender, a young English mathematician.
Speaking of James Maynard, it may not be as bad as Terence Tao.
However, he received a master's degree from Cambridge University at the age of 22 and a doctorate from Oxford University at the age of 26.
That is, at the age of 26, he reduced the upper limit of the interval between prime numbers in the twin prime number conjecture from 7000 million to 600.
Greatly optimized Zhang Yitang's previous proof results.
Also based on James Maynard's method, a team reduced the prime interval to 246.
Moreover, according to this method, the interval between prime numbers can be even smaller.
It can be said that James Maynard's method has brought milestone breakthroughs.
So much so that James Maynard was even praised by Terence Tao himself: "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 such compliments, it is because Tao Zhexuan on the other side of the ocean also came to basically the same result on the same issue within a similar period of time.
According to media reports, James Maynard had just graduated with a doctorate at this time, and he was just a postdoctoral fellow with little reputation.
With Terence Tao's status and reputation at the time, he could have published this research together with James Maynard.
However, Tao Zhexuan gave up this opportunity out of a heart of cherishing talents.
He was afraid that his fame would overshadow the young mathematician's achievements.
These words were said by Tao Zhexuan during an interview.
Facts have proved that James Maynard does have unlimited potential.
In the years following his Ph.D., he made great strides in the field of number theory that made him famous.
He has also won many mathematics awards, and is one of the popular candidates for the Cole Number Theory Award.
Certainly James Maynard relied on a further proof of the twin primes conjecture.
After all, after Chen Zhou solved the Jebov conjecture, the twin prime conjecture had been completely solved by Terence Tao and Yitang Zhang.
In the face of this final result, any progress in the process is already insignificant.
James Maynard relied on the Duffin-Schaeffer conjecture, a conundrum that has plagued mathematicians for nearly 80 years.
Why did you say Zeng?
Because James Maynard has successfully solved the Duffin-Schaeffer conjecture.
The Duffin-Schaeffer conjecture is an important conjecture in the metric Diophantine approximation, 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.
Simply put, most real numbers are irrational numbers like π and √2.
They cannot be expressed in fractions.
So, Richard Duffin and Albert Schaeffer put forward a conjecture.
Assume that f: N→R≥0 is a real-valued function with positive values and diverges only when the series q=1→∞∑f(q)φ(q)/q=∞.
That is, when q>0, φ(q) is an Euler function, indicating the number of positive integers smaller than q and relatively prime to q.
For the irrational number α, there are infinitely many rational numbers that satisfy the inequality |α-(p/q)|
That is to say, when looking for an approximate value, the numerator is not considered first, but an infinite number of numbers are selected from the natural numbers as the denominator.
The numerator is then chosen based on the sequence of denominators and the specified approximate precision range.
The result is that if the infinite series diverges, it means that all irrational numbers have been approximated.
Otherwise, no approximation to any irrational numbers is achieved.
This conjecture, among rational approximations, is generally accepted by mathematicians as the correct criterion.
But how to prove it has become a problem that has plagued mathematicians for nearly 80 years.
Until James Maynard and his collaborators proved this conjecture in one fell swoop with a 44-page paper.
For this reason, James Maynard has received praise from many mathematicians.
Among them, Tao Zhexuan, who gave up the authorship of the paper because he cherished his talents, naturally included.
In fact, although the Duffin-Schaeffer conjecture seems simple, it actually touches the profound nature of the natural number system, and it is a landmark open problem in number theory.
This is also the biggest reason why James Maynard is the most popular candidate for the Cole Number Theory Award.
But it's a pity that he met Chen Zhou, a monster.
In one year, three world-class mathematical conjectures were eliminated in a row.
But this also includes one of the two most important conjectures in the prime number interval problem, the Jebov conjecture.
More than that, Chen Zhou's mathematical tool to solve Jebov's conjecture is the distribution deconstruction method.
It also played a vital role in Tao Zhexuan and Zhang Yitang's solution to the twin prime number conjecture.
This is no way.
In terms of one alone, maybe James Maynard can compare.
But overall, James Maynard is incomparable.
Therefore, this competitor, who had never met before, praised Chen Zhou's work in the field of number theory and Chen Zhou's achievements in the email to Chen Zhou.
Moreover, 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 Prize in Number Theory.
But no matter who wins the prize, the opponent should be a respectable opponent.
To explain, the timeline of reality has been adjusted here to advance the research results of James Maynard.Students, please don't be serious.
(End of this chapter)
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, both Chen Zhou and this stranger are known as young genius mathematicians.
However, unlike Chen Zhou, in the past two years, he has solved number theory problems one after another.
The stranger seemed a little silent.
Of course, the silence here refers to academic achievements.
Rather than a comparison of the mathematics awards won by the two.
Because, this stranger, in the past two years, has won the SASTRA Ramanujan Award, the London Mathematical Society Whitehead Award, and the European Mathematical Society Award, etc.
This is much stronger than Chen Zhou's ability to win prizes.
Although Chen Zhou at this time is enough to match the Ramanujin Award.
However, they didn't send out a notice, didn't tell Chen Zhou the award, so it was naturally impossible for Chen Zhou to ask for one by himself.
Chen Zhou frowned slightly, and read the email again.
Chen Zhou suddenly remembered something. It seemed that this person was the most popular candidate for the Cole Number Theory Award.
Unfortunately, it has now been confirmed by multiple sources.
The Cole Prize in Number Theory should have been cut off by himself.
This talented mathematician in the field of number theory did not continue his path to winning prizes.
If you want to win the Cole Prize in Number Theory, you may 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.
Such was the name of the strange sender, a young English mathematician.
Speaking of James Maynard, it may not be as bad as Terence Tao.
However, he received a master's degree from Cambridge University at the age of 22 and a doctorate from Oxford University at the age of 26.
That is, at the age of 26, he reduced the upper limit of the interval between prime numbers in the twin prime number conjecture from 7000 million to 600.
Greatly optimized Zhang Yitang's previous proof results.
Also based on James Maynard's method, a team reduced the prime interval to 246.
Moreover, according to this method, the interval between prime numbers can be even smaller.
It can be said that James Maynard's method has brought milestone breakthroughs.
So much so that James Maynard was even praised by Terence Tao himself: "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 such compliments, it is because Tao Zhexuan on the other side of the ocean also came to basically the same result on the same issue within a similar period of time.
According to media reports, James Maynard had just graduated with a doctorate at this time, and he was just a postdoctoral fellow with little reputation.
With Terence Tao's status and reputation at the time, he could have published this research together with James Maynard.
However, Tao Zhexuan gave up this opportunity out of a heart of cherishing talents.
He was afraid that his fame would overshadow the young mathematician's achievements.
These words were said by Tao Zhexuan during an interview.
Facts have proved that James Maynard does have unlimited potential.
In the years following his Ph.D., he made great strides in the field of number theory that made him famous.
He has also won many mathematics awards, and is one of the popular candidates for the Cole Number Theory Award.
Certainly James Maynard relied on a further proof of the twin primes conjecture.
After all, after Chen Zhou solved the Jebov conjecture, the twin prime conjecture had been completely solved by Terence Tao and Yitang Zhang.
In the face of this final result, any progress in the process is already insignificant.
James Maynard relied on the Duffin-Schaeffer conjecture, a conundrum that has plagued mathematicians for nearly 80 years.
Why did you say Zeng?
Because James Maynard has successfully solved the Duffin-Schaeffer conjecture.
The Duffin-Schaeffer conjecture is an important conjecture in the metric Diophantine approximation, 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.
Simply put, most real numbers are irrational numbers like π and √2.
They cannot be expressed in fractions.
So, Richard Duffin and Albert Schaeffer put forward a conjecture.
Assume that f: N→R≥0 is a real-valued function with positive values and diverges only when the series q=1→∞∑f(q)φ(q)/q=∞.
That is, when q>0, φ(q) is an Euler function, indicating the number of positive integers smaller than q and relatively prime to q.
For the irrational number α, there are infinitely many rational numbers that satisfy the inequality |α-(p/q)|
That is to say, when looking for an approximate value, the numerator is not considered first, but an infinite number of numbers are selected from the natural numbers as the denominator.
The numerator is then chosen based on the sequence of denominators and the specified approximate precision range.
The result is that if the infinite series diverges, it means that all irrational numbers have been approximated.
Otherwise, no approximation to any irrational numbers is achieved.
This conjecture, among rational approximations, is generally accepted by mathematicians as the correct criterion.
But how to prove it has become a problem that has plagued mathematicians for nearly 80 years.
Until James Maynard and his collaborators proved this conjecture in one fell swoop with a 44-page paper.
For this reason, James Maynard has received praise from many mathematicians.
Among them, Tao Zhexuan, who gave up the authorship of the paper because he cherished his talents, naturally included.
In fact, although the Duffin-Schaeffer conjecture seems simple, it actually touches the profound nature of the natural number system, and it is a landmark open problem in number theory.
This is also the biggest reason why James Maynard is the most popular candidate for the Cole Number Theory Award.
But it's a pity that he met Chen Zhou, a monster.
In one year, three world-class mathematical conjectures were eliminated in a row.
But this also includes one of the two most important conjectures in the prime number interval problem, the Jebov conjecture.
More than that, Chen Zhou's mathematical tool to solve Jebov's conjecture is the distribution deconstruction method.
It also played a vital role in Tao Zhexuan and Zhang Yitang's solution to the twin prime number conjecture.
This is no way.
In terms of one alone, maybe James Maynard can compare.
But overall, James Maynard is incomparable.
Therefore, this competitor, who had never met before, praised Chen Zhou's work in the field of number theory and Chen Zhou's achievements in the email to Chen Zhou.
Moreover, 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 Prize in Number Theory.
But no matter who wins the prize, the opponent should be a respectable opponent.
To explain, the timeline of reality has been adjusted here to advance the research results of James Maynard.Students, please don't be serious.
(End of this chapter)
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