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On the sum of two divisors of (n 2 + 1)/2

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Abstract

In this paper, given a pair of odd coprime integers δ and ɛ, we study the positive n such that (n 2 + 1)/2 has two divisors d 1 and d 2 summing up to δn + ɛ.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10000, Zagreb, Croatia

    Andrej Dujella

  2. Instituto de Matemáticas, Universidad Nacional Autónoma de México, C.P. 58089, Morelia, Michoacán, México

    Florian Luca

Authors
  1. Andrej Dujella
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  2. Florian Luca
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Corresponding author

Correspondence to Andrej Dujella.

Additional information

Communicated by Attila Pethő

Supported by the Ministry of Science, Education and Sports, Republic of Croatia, grant 037-0372781-2821.

Partially supported by grant SEP-CONACyT 79685.

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Dujella, A., Luca, F. On the sum of two divisors of (n 2 + 1)/2. Period Math Hung 65, 83–96 (2012). https://doi.org/10.1007/s10998-012-8050-7

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  • DOI: https://doi.org/10.1007/s10998-012-8050-7

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