Geodesic
Infinite linear independence of values of generalized hypergeometric series with irrational parameters at polyadic points
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 1, Tome 179 (2020), pp. 88-93

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The paper is devoted to the proof of infinite linear independence at points that admit high-order approximations by algebraic numbers in non-Archimedean normalized fields.
Keywords: hypergeometric series, irrational parameter. 
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     author = {E. Yu. Yudenkova},
     title = {Infinite linear independence of values of generalized hypergeometric series with irrational parameters at polyadic points},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {88--93},
     publisher = {mathdoc},
     volume = {179},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_179_a13/}
}
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E. Yu. Yudenkova. Infinite linear independence of values of generalized hypergeometric series with irrational parameters at polyadic points. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 1, Tome 179 (2020), pp. 88-93. http://geodesic.mathdoc.fr/item/INTO_2020_179_a13/