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... s of elliptic curves and modular forms, these tools already encompass the key ideas for similar problems, so there’s no reliance on Peter Scholze’s theories.

Similarly, when researching topics like prime number distribution, congruence theory, quadratic forms, the integer ring over algebraic number fields, and so on, Peter Scholze’s theories are also not essential. It’s like the classic proof of Fermat’s Last Theorem, which before Wiles’ work mainly relied on the basic concepts of ellipt ...

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