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Some hypergeometric integrals for linear forms in zeta values. (English) Zbl 1441.11210
Summary: We prove new integral representations of the approximation forms in zeta values.
MSC:
11M06 \(\zeta (s)\) and \(L(s, \chi)\)
11J72 Irrationality; linear independence over a field
33C20 Generalized hypergeometric series, \({}_pF_q\)
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[1] Fischler, S.; Sprang, J.; Zudilin, W.
[2] Zudilin, W., One of the odd zeta values from 𝜁(5) to 𝜁(25) is irrational. By elementary means, SIGMA, 14, (2018) · Zbl 1445.11063
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