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A Comparison of the Carlitz and Digit Derivatives Bases in Function Field Arithmetic

✍ Scribed by Sangtae Jeong

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 147 KB
Volume: 84
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.2000.2527

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✦ Synopsis

We compare several properties and constructions of the Carlitz polynomials and digit derivatives for continuous functions on F q [[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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