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A simple observation on simple zeros

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Abstract

A lower bound on the number of simple and distinct zeros of elements in a function field defined by linear recurrence sequences is computed.

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Authors and Affiliations

  1. Institute of Mathematics, University of Debrecen, Debrecen, 4010, Hungary

    Ákos Pintér

  2. Centre for Number Theory Research, 1 Bimbil Place, Killara, 2071, Australia

    Alf van der Poorten

Authors
  1. Ákos Pintér
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  2. Alf van der Poorten
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Corresponding author

Correspondence to Ákos Pintér.

Additional information

Research is supported in part by the Hungarian Academy of Sciences, OTKA grants T67580, K75566, the János Bolyai Fellowship and the TÁMOP 4.2.1./B-09/1/KONV-2010-0007 project implemented through the New Hungary Development Plan co-financed by the European Social Fund, and the European Regional Development Fund.

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Pintér, Á., van der Poorten, A. A simple observation on simple zeros. Arch. Math. 95, 355–361 (2010). https://doi.org/10.1007/s00013-010-0171-8

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