A Comparison of the Carlitz and Digit Derivatives Bases in Function Field Arithmetic
نویسنده
چکیده
We compare several properties and constructions of the Carlitz polynomials and digit derivatives for continuous functions on Fq[[T ]]. In particular, we show a close relation between them as orthonormal bases. Moreover, parallel to Carlitz’s coefficient formula, we give the closed formula for the expansion coefficients in terms of the digit derivatives.
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تاریخ انتشار 2000