## 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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### References:

 [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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