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Power values of sums of products of consecutive integers

Volume 172 / 2016

Lajos Hajdu, Shanta Laishram, Szabolcs Tengely Acta Arithmetica 172 (2016), 333-349 MSC: Primary 11D41; Secondary 11D25. DOI: 10.4064/aa8271-10-2015 Published online: 2 March 2016

Abstract

We investigate power values of sums of products of consecutive integers. We give general finiteness results, and also give all solutions when the number of terms in the sum considered is at most ten.

Authors

  • Lajos HajduInstitute of Mathematics
    University of Debrecen
    H-4010 Debrecen, P.O. Box 12, Hungary
    e-mail
  • Shanta LaishramIndian Statistical Institute
    7, S.J.S. Sansanwal Marg
    New Delhi 110016, India
    e-mail
  • Szabolcs TengelyUniversity of Debrecen
    Institute of Mathematics
    H-4010 Debrecen, P.O. Box 12, Hungary
    e-mail

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