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On the maximal length of two sequences of integers in arithmetic progressions with the same prime divisors

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Abstract

In this paper we consider an analogue of the problem of Erdős and Woods for arithmetic progressions. A positive answer follows from theabc conjecture. Partial results are obtained unconditionally.

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References

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Authors and Affiliations

  1. The Institute of Mathematical Sciences, 600113, Madras, India

    R. Balasubramanian

  2. U.F.R. Mathématique (M2), Université Lille 1 Math., F-59655, Villeneuve d'Ascq Cedex, France

    M. Langevin

  3. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Bombay, India

    T. N. Shorey

  4. Mathématiques T. 45-46, 5ème Et., Case 247, Université P. et M. Curie (Paris VI), 4, Place Jussieu, F-75252, Paris Cedex 05, France

    M. Waldschmidt

Authors
  1. R. Balasubramanian
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  2. M. Langevin
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  3. T. N. Shorey
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  4. M. Waldschmidt
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Balasubramanian, R., Langevin, M., Shorey, T.N. et al. On the maximal length of two sequences of integers in arithmetic progressions with the same prime divisors. Monatshefte für Mathematik 121, 295–307 (1996). https://doi.org/10.1007/BF01308722

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  • DOI: https://doi.org/10.1007/BF01308722

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