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Journal Articles p-Adic Numbers, Ultrametric Analysis and Applications Year : 2023

Number of zeros of exponential polynomials in zero residue characteristic

Alain Escassut
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Abstract

Let L be a complete ultrametric field of residue characteristic 0 and let F (x) = P k i=1 fi(x)exp(ωix), with ωi ∈ L, |ωi| < 1. The number of zeros of F in the unit disk is bounded by n − 1.
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Dates and versions

hal-04041695 , version 1 (22-03-2023)

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  • HAL Id : hal-04041695 , version 1

Cite

Alain Escassut. Number of zeros of exponential polynomials in zero residue characteristic. p-Adic Numbers, Ultrametric Analysis and Applications, In press. ⟨hal-04041695⟩
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