Abstract:
Theorems are proved concerning estimates of linear forms in values of generalized hypergeometric series of the form $\sum _{n=0}^{{\infty}}\left(\alpha _1\right)_n\dots{}\left(\alpha _{m-1}\right)_nz^n,$ among the parameters of which are transcendental $p$-adic Liouville numbers.
Keywords:infinite linear independence, $p$-adic Liouville numbers, estimates of linear forms.
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