Cyclotomic valuation of $q$-Pochhammer symbols and $q$-integrality of basic hypergeometric series

We give a formula for the cyclotomic valuation of $q$-Pochhammer symbols in terms of (generalized) Dwork maps. We also obtain a criterion for the $q$-integrality of basic hypergeometric series in terms of certain step functions, which generalize Christol step functions. This provides suitable $q$-an...

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Hauptverfasser:	Adamczewski, B, Bell, J. P, Delaygue, É, Jouhet, F
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Combinatorics Mathematics - Number Theory
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