A comparison of the Carlitz and digit derivatives bases in function field arithmetic

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dc.creatorJeong, Sangtae
dc.date2000-03-13
dc.date.accessioned2026-07-07T04:34:35Z
dc.date.available2026-07-07T04:34:35Z
dc.descriptionIn this paper 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.
dc.identifierhttps://arxiv.org/abs/math/0003243
dc.identifierhttp://arxiv.org/abs/math/0003243
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58957
dc.subjectNumber Theory
dc.titleA comparison of the Carlitz and digit derivatives bases in function field arithmetic
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