Scholar’s Advanced Technological System

Far from the other side of the planet.

It's already late at night on Princeton University campus, and only a few of the libraries with night study rooms are lit.

In the activity room of a library close to the apartment, Vera placed a stack of papers on the table, turned over a page in the paper, and her slim index fingers swept along a row of formulas, eventually parking in the middle, whispering.

“… on page 27, line 11, there is a problem with the formula. ”

Compared to three years ago, her personality remained unchanged, the only difference being that it was always a short ponytail like the tail of a squirrel, which had grown to the point of a curved arm and combed into a beautiful and handy Greek princess braid.

If you wear a long dress with lace sides, you may even be mistaken for a true princess. Unfortunately, however, that slim shoulder was wrapped in just a very ordinary piece of campus clothing, which also led her to be mistaken for a high school student who had come to attend an academic summer camp at certain times...

“Let me see... Oh, my God, you are so stricter than my PhD tutor.” Molina rubbed her eyebrows against the dark circle and grabbed a pen from the table, stretching her lazy waist to sit up slowly.

This overnight liver outburst is uncomfortable and a burden on both the shoulders and the lumbar spine. Although she enrolled earlier, she couldn't be younger with a PhD and as a lecturer at Princeton University.

At least not compared to the young girl standing next to her.

Praised by her partner, Vera smiled a bit, embarrassed to say.

“Where, compared to Ms. Sophie Morrell, I am still far behind. ”

Sophie Morell was her mentor while Molina was still studying for the doctorate, and the two of them had worked together for a long time on the threshold of Lehman's conjecture, but after Sophie Morell's 18-year defeat of the Nobel Prize, Sophie gave up Lehman's conjecture of this elusive bone and moved on to research on other subjects, and now she's doing quite well.

And Molina, still struggling on this subject, even though she has moved from a Ph.D. student to a lecturer at Princeton University, has not changed.

It's a long story as to why she got along with Vera.

In short, they are now fighting for the same goal - the Lehman conjecture - in the same cluster.

“No, that's too modest of you. That coward couldn't have done such a beautiful proof of the Corner Valley Theorem, nor could he have carefully discovered the problem of such a rough diamond...” Bite the cap, stare at the line of formula looking over and over again Molina grabbed the hair, some irritably said, "Damn, Odrizko's zero-point calculation, which I should have thought of earlier. ”

“Bingo, Odrizko's zero-point calculation,” Vera said softly, writing two lines of formula on paper with a ballpoint pen, correcting the error, "the modified algorithm can be launched, 40% of the extraordinary zero-point is on the critical line... Congratulations, Ms. Molina, you have discovered a method outside the Levinson algorithm that re-proves Conrey's critical line theorem. ”

In the last half, she said it with comfort.

Although she was not sure whether that was comforting or not.

It took a month to come up with the idea, another two months to try it, and the result was a conclusion that had already been drawn in 1990.

The critical line dividing the extraordinary zero point of the zeta function still stands on the nasty 40% number. If anyone can push it a little further, there is hope for the next or next Fields Prize.

Yet after all these years, only its challengers have fallen, and no one has ever pushed the dragon back one step.

“But it doesn't make any sense,” Molina sighed, "perhaps… The Mathematical Chronicle will consider accepting our paper. ”

Vera gave her an encouraging look and said softly.

“I think they should think about it, at least we found another use of Odrizko's zero-point calculation. ”

Unlike other disciplines, mathematical research is not entirely results-oriented, and sometimes without a very nice answer, it can be a reason to publish if the process is good enough, or interesting enough. Especially the Mathematics Chronicle, although not in Princeton anymore, is “loose” for Princeton output papers.

Just...

Like The Mathematical Yearbook, the four top issues are more difficult.

“Maybe...” Molina rubbed some messy long hair, "Maybe we should change our minds. I studied Sir Attia's notes a while ago and found his research interesting. ”

Vera opened her mouth.

“Molina...”

Molina with a dark circle missed her head: “What's wrong? ”

Vera said seriously, "You really should take a break. ”

While that may be a little disrespectful to the late Sir Attia, a number of people had thought of it long before his death and eventually returned home.

“Don't worry about me, I'm fine...” Molina touched her forehead, "Maybe you're right, I should take a break. ”

She also felt insane when she started studying Sir Attia's thesis.

Vera opened her mouth slightly and finally sat beside her and was silent for a while and asked.

“Why... have you been obsessed with Lehman's assumptions? ”

When she heard the question, Molina said in a rhetorical tone: “Just like why are you obsessed with that man? ”

Vera blushed slightly and hesitated for a while before staring at the paper on the table.

“I… am not as obsessed as you say, he only gave me the light when I was most helpless. ”

Molina: “But that was years ago, wasn't it? ”

Vera nodded silently for a while.

Indeed, she also knows that that was many years ago.

She wasn't even sure if the ark remembered what she looked like.

Although she always remembered what he looked like...

“Me too,” Molina laughed, spraying her index finger gently with an empty mug on the table, continuing, “Math gave me the same thing. ”

Vera looked at her inexplicably.

“But why is Lehman guessing? ”

“Have a chance to talk about it again. ”

Molina stood up from the chair, however, because she was too tired, she shook herself down to the side. Good thing Vera got up instantly to hold her so she didn't trip.

“Thank you,” said Molina, holding the chair back steady, bending the corner of her mouth, "if he doesn't want you, marry me. ”

Vera's face turned red and she hurried, “I'm sorry… I'm not that. ”

Molina smiled.

“I'm just kidding. Don't be serious. ”

As she said, she blinked, picking up the paper on the table and holding it in her chest, and walked away quickly.