Chapter 391

The two booked a flight for the morning of June 30th. For the past few days, they had been packing intermittently. The place they were going was quite far, a foreign land, and there wasn't much they could bring.

No matter how they simplified it, there were at least three large suitcases.

Xu Qingzhou leaned on the sofa, looking at the familiar living room, and was suddenly a bit emotional.

In his previous life, when he went to the United States to study, he only had one suitcase. When he left, the rented house was as clean as if no one had lived there. This time it was different; the things in the living room were basically untouched, full of the breath of life.

Xu Qingzhou and Song Yao renewed the lease on this room for two years.

Landlady Auntie Jia agreed immediately. The old couple had their own house, and their son had been working in the United States for many years. It was troublesome to find new tenants for an empty house. Moreover, two big straight-A students lived in the house, and everyone was praising her house for its good feng shui.

"Two people and one person are ultimately different."

Xu Qingzhou sighed.

Er Miao flicked its tail, finished the cat food at the automatic feeder, walked over slowly, and jumped onto Xu Qingzhou to ask for a hug.

Xu Qingzhou hooked Er Miao's chin, looking at the ceiling, thinking about the next arrangements.

Although the procedures for pets to go abroad seemed even more troublesome than theirs, Er Miao definitely had to be brought along. Old Song and his wife were both busy. As for his home, old Xu didn't like cats, thinking Er Miao was a waste in the true sense of the word.

Eating expensive food, unlike the cats they raised before—just pour some leftovers when people ate and they could be raised. Now they had to eat cat food, couldn't do anything, and didn't seem to be able to do anything.

With Er Miao, this "family of three" could be considered complete. Just him and Song Yao were too lonely.

After a long while, Er Miao narrowed its eyes, making a purring sound.

Xu Qingzhou sat on the sofa for a while, let Er Miao lie on the sofa to continue sleeping, and sat back in front of the computer himself.

For the past half month, he had been trying to introduce the Reich metric based on Sir Atiyah's proof.

Let there be a "Reich metric" defined on the complex plane or Riemann sphere related to the Riemann zeta function, which is a real-valued function measuring the "distance" or "difference" between two points on the manifold.

The next steps were still quite clear.

Try to find a formula to link the non-trivial zeros of the Riemann zeta function in a specific region with the Reich metric values of certain specific point sets on the manifold.

Then use the special properties of the Reich metric, such as complex structure sensitivity, positive definiteness, etc., to derive theorems related to the boundedness of the Riemann zeta function...

Construct a mathematical model to describe the relationship between point sets on the manifold, Reich metric values, and Riemann zeta function values.

Finally, prove the Riemann Hypothesis.

It sounded simple, but in fact, every step was extremely difficult.

It was just like building a skyscraper, where there wasn't even a construction drawing, only a logic—foundation, main frame, building formation.

Everything else had to be designed by oneself.

Of course, Xu Qingzhou wasn't without gains. Just before visiting Professor Gu Zhizhong and the others, he had already completed the second step, deriving the formula.

"Maybe there's really hope."

Xu Qingzhou said, laughing at himself instead. If it were really that simple, it wouldn't have been left unresolved all along.

Facing a very difficult mathematical conjecture, everyone would circle around it if they couldn't attack it. Sometimes they would circle around and open it, but more likely, it still required a violent attack.

He found that there weren't many civilian mathematicians researching the Riemann Hypothesis; they were really gathered around the Goldbach Conjecture and Fermat's Last Theorem.

Perhaps, the analytic expression of the Riemann Hypothesis was too complex?

If it were written as an equivalent proposition of the error term or an equivalent proposition of the Mertens function, then there would probably be many people researching it.

He didn't hold hope for proving the Riemann Hypothesis, just feeling that Sir Atiyah's approach had merits, so he tried it once to be clear about where the problem was.

Xu Qingzhou cast aside miscellaneous thoughts and continued to write.

"Function g(n, pn), it depends on the zero's sequence number n and the zero itself, and is related to the Reich metric on the manifold."

"There is the formula g(n, pn)=∑m(n)ak(f(pnk))qdr(f(pnk), pn)p"

7:00 PM, Xu Qingzhou finished showering and had just written two equations when Song Yao returned, seemingly humming a song. It looked like she had a pretty happy day. "Everything packed?" Song Yao looked at the two large suitcases with zippers pulled up, nodding with satisfaction.

"Hmm, toiletries will be packed tomorrow... didn't you say you wanted to buy clothes?"

"We're moving soon; I'll buy them later."

Song Yao walked over, hugged Xu Qingzhou from behind, pecked his face, and then went to the sofa to tease Er Miao.

"Almost forgot the most important thing." Xu Qingzhou turned his head, looked at School Beauty Song's two big white legs, slapped his head, and ran into the bedroom.

Song Yao stroked Er Miao twice. Seeing Xu Qingzhou like this, she followed him in, and then saw the boy who had a solemn expression just a moment ago pull open the second drawer and take out the things inside.

"It would be a pity if these things were forgotten."

"Pervert."

Song Yao looked at the various stockings in Xu Qingzhou's hands, spat, turned to look at the only suitcase that was still empty, and said unhappily: "The suitcase can't fit them anymore."

She shouldn't have satisfied Xu Qingzhou's strange hobbies, lest he always push his luck.

【Error-free content, read it here!】

She originally thought this guy would struggle, but didn't expect Xu Qingzhou to nod slightly and say in a deep voice: "It does take up space... it seems we can only use them all tonight."

"."

"Xu Qingzhou, we're going home tomorrow," Song Yao reminded with an expressionless face.

Xu Qingzhou nodded, walked over, and reached out to embrace School Beauty Song's waist. "You remind me, the flight is at 11:00 AM tomorrow; let's hurry."

Creak~

The two fell onto the bed.

"Xu Qingzhou!" Song Yao's eyes widened, completely unprepared. She tugged at Xu Qingzhou's clothes a few times, only to find herself pinned down firmly by Xu Qingzhou.

There was a sense of powerlessness, and besides that, there seemed to be a tiny bit of heart-pounding excitement?

"Little girl, just struggle; the more you struggle, the more excited I get..."

Rongcheng.

Wutong Community.

3:00 PM, Xu Qingzhou pushed the door and came out of the bedroom with a laugh, grabbed an orange from the tea table, peeled it, and ate a slice.

"Hiss~ it's still sour."

Xu Qingzhou put the orange back on the table. Yesterday, he was chased out by Wang Xiaping to buy soy sauce, and when he returned, he saw an old man selling oranges on the side of the road, so he weighed two jin.

Didn't expect... a sincere heart was misplaced.

Xu Qingzhou shook his head, looking out the window. In July, the breath of midsummer was already quite strong. Rongcheng could also be considered to have entered the hottest month of the year. The weather outside the window was very good, and the sunlight fell onto the balcony.

This was his seventh day back. It happened to be Saturday. On June 30th, the two packed their luggage and returned to Rongcheng with three large suitcases.

He and Song Yao had also handled the passports and Er Miao's procedures in the days they returned.

Xu Qingzhou had a simple birthday on July 5th, and spent most of his time at home doing calculations.

He pulled open the window, walked to the balcony, and the heat wave rushed toward him.

"Hoo~"

Xu Qingzhou let out a long breath, narrowed his eyes, looking at the distant emerald ginkgo, relaxing his brain.

Ever since deriving the formula linking the non-trivial zeros of the Riemann zeta function with the Reich metric values of specific point sets on the manifold, the progress had been nearly zero.

For example, f(0) represented the point on the manifold corresponding to the origin s=0 on the complex plane, but if f(0) was used to substitute into the formula for calculation, it would affect the relative weight between different Reich metric terms.

Completely contradictory.

(End of chapter)