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Derivations and generating degrees in the ring of arithmetical functions

โœ Scribed by Alexandru Zaharescu; Mohammad Zaki


Book ID
107589220
Publisher
Indian Academy of Sciences
Year
2007
Tongue
English
Weight
126 KB
Volume
117
Category
Article
ISSN
0253-4142

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A Comparison of the Carlitz and Digit De
โœ Sangtae Jeong ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 147 KB

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 e