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On some diophantine results related to Euler polynomials

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Abstract

In this paper we prove that there is at most one complex number b for which the shifted Euler polynomial E n (x) + b has at most two zeros of odd multiplicity.

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Authors and Affiliations

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

    Csaba Rakaczki

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  1. Csaba Rakaczki
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Correspondence to Csaba Rakaczki.

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Communicated by Attila Pethő

Supported in part, by Grants T48791 and F68872 form HNFSR, and by the Hungarian Academy of Sciences.

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Rakaczki, C. On some diophantine results related to Euler polynomials. Period Math Hung 57, 61–71 (2008). https://doi.org/10.1007/s10998-008-7061-2

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  • DOI: https://doi.org/10.1007/s10998-008-7061-2

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