Truncated Bernoulli-Carlitz and Truncated Cauchy-Carlitz Numbers
نویسندگان
چکیده
منابع مشابه
Carlitz q-Bernoulli Numbers and q-Stirling Numbers
a+ dpZp = {x ∈ X | x ≡ a (mod dp N )}, where a ∈ Z lies in 0 ≤ a < dp , see [1-21]. The p-adic absolute value in Cp is normalized so that |p|p = 1/p. When one talks of q-extension, q is variously considered as an indeterminate, a complex number q ∈ C or a p-adic number q ∈ Cp. If q ∈ Cp, then we assume |q − 1|p < p − 1 p−1 , so that q = exp(x log q) for |x|p ≤ 1. We use the notation [x]q = [x :...
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متن کاملThe Carlitz Algebras
The Carlitz Fq-algebra C = Cν , ν ∈ N, is generated by an algebraically closed field K (which contains a non-discrete locally compact field of positive characteristic p > 0, i.e. K ≃ Fq[[x, x−1]], q = pν), by the (power of the) Frobenius map X = Xν : f 7→ f q, and by the Carlitz derivative Y = Yν. It is proved that the Krull and global dimensions of C are 2, a classification of simple C-modules...
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ژورنال
عنوان ژورنال: Tokyo Journal of Mathematics
سال: 2018
ISSN: 0387-3870
DOI: 10.3836/tjm/1502179245