The paper establishes the first criteria for the linear independence of multiple polylogarithm values over algebraic number fields via explicit Padé-type approximants, including results on products at distinct points.
Beukers,Legendre polynomials in irrationality proofs, Bull
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Linear independence of periods related to polylogarithms
The paper establishes the first criteria for the linear independence of multiple polylogarithm values over algebraic number fields via explicit Padé-type approximants, including results on products at distinct points.