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Chapter 409 - Chapter 139 Always Someone Overjoyed_5

Professor Tan frowned and asked.

"It's very simple. If I can prove that the Galois representations of every pair of twin primes can be defined through the characteristics of modular forms, then the Galois representations can automatically possess the uniqueness of the number pairs without the need to reconstruct them each time."

Qiao Yu said casually.

Professor Tan was stunned for a moment, then frowned even more and subconsciously asked, "Are you saying to directly define the matrix of a Galois representation using modular forms?"

Qiao Yu nodded and replied, "Yes, of course, I haven't figured out how to define it yet. I'll just give a simple example:

For instance, we can use the Fourier coefficients of modular forms as characteristic parameters for the Galois representations. Then theoretically, their trace could reflect the structure of the Fourier coefficients.

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