We introduce multi-poly-Bernoulli–Carlitz numbers, function field analogues of multi-poly-Bernoulli numbers of Imatomi–Kaneko–Takeda. We explicitly describe multi-poly-Bernoulli Carlitz numbers in terms of the Carlitz factorial and the Stirling–Carlitz numbers of the second kind and also show their relationships with function field analogues of finite multiple zeta values.

中文翻译：

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关于多聚伯努利-卡利兹数

我们介绍了多聚伯努利-卡利兹数，即今臣-金子-武田的多聚伯努利数的函数场类似物。我们根据第二类 Carlitz 阶乘和斯特林-Carlitz 数明确描述了多聚伯努利 Carlitz 数，并展示了它们与有限多 zeta 值的函数场类似物的关系。