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On equal values of trinomials

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Abstract

Using Bilu–Tichy’s theorem and decomposition properties of trinomials an ineffective criterion is proved for two trinomials to have infinitely many equal values at rationals with a bounded denominator.

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Authors and Affiliations

  1. Institute of Mathematics, The Number Theory Research Group of the Hungarian Academy of Sciences, University of Debrecen, P. O. Box 12, 4010, Debrecen, Hungary

    Gyöngyvér Péter & Ákos Pintér

  2. Institute of Mathematics, Polish Academy of Sciences, 00-950, Warsaw, Poland

    Andrzej Schinzel

Authors
  1. Gyöngyvér Péter
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  2. Ákos Pintér
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  3. Andrzej Schinzel
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Corresponding author

Correspondence to Ákos Pintér.

Additional information

Communicated by J. Schoißengeier.

This research was supported in part by the Hungarian Academy of Sciences, OTKA grants T48791, T67580, K75566, International Visegrad Fund Standard Grant 20810328 and by the János Bolyai Fellowship.

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Péter, G., Pintér, Á. & Schinzel, A. On equal values of trinomials. Monatsh Math 162, 313–320 (2011). https://doi.org/10.1007/s00605-009-0169-0

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  • DOI: https://doi.org/10.1007/s00605-009-0169-0

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