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Journal Articles International Journal of Number Theory Year : 2012

ABEL ARITHMETIC FUNCTIONS IN FINITE CHARACTERISTIC

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Abstract

We define Abel arithmetic functions in function fields with positive characteristic. We prove that any Abel arithmetic function with exponential type lesser than [Formula: see text] is a polynomial, the bound [Formula: see text] being optimal. This provides an analog of a Bertrandias' result. Some q-analogs are considered too.
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hal-03417874 , version 1 (05-11-2021)

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David Adam. ABEL ARITHMETIC FUNCTIONS IN FINITE CHARACTERISTIC. International Journal of Number Theory, 2012, 08 (06), pp.1557-1568. ⟨10.1142/S1793042112500959⟩. ⟨hal-03417874⟩

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