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The conservative matrix field

Ofir David
Mar 2023
摘要
We provide a more accessible approach to Ap\'ery's proof that the Riemannzeta function at 3 is irrational. To achieve this, we introduce a new structurecalled the conservative matrix field, which facilitates the proof and can beapplied to other mathematical constants, such as e, {\pi}, ln(2), in order tostudy their properties. The results obtained in this paper not only offer amore accessible proof of Ap\'ery's theorem, but also pave the way for furtherresearch and discovery in this field and relates it to other fields in numbertheory.
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