论文标题
$ q $ - pochhammer符号和$ q $ - 基本超几何系列的$ q $ - pochhammer符号的估值
Cyclotomic valuation of $q$-Pochhammer symbols and $q$-integrality of basic hypergeometric series
论文作者
论文摘要
我们为（广义）dwork地图提供了$ q $ - pochhammer符号的环形估值的公式。我们还从某些步骤功能方面获得了基本高几幅序列的$ Q $综合性的标准，该功能概括了Christol步骤功能。这提供了Christol证明的两个结果的合适的$ Q $ - Analogs：Pochhammer符号的$ p $ - adiC估值的公式和$ n $ n $ - 整数系列的标准。
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 $q$-analogs of two results proved by Christol: a formula for the $p$-adic valuation of Pochhammer symbols and a criterion for the $N$-integrality of hypergeometric series.
