On the equation 1k + 2k + ... + xk = yn

K. Györy, Á Pintér

Research output: Contribution to journalReview article

14 Citations (Scopus)


In our paper a survey is given on the title equation. General finiteness theorems, bounds on n and the number of solutions, complete solution for small values of k, and some generalizations and analogues are presented. The basic ideas of the most important proofs are also outlined. We note that in the proofs of the recent results virtually every technique of modern Diophantine analysis has been employed.

Original languageEnglish
Pages (from-to)403-414
Number of pages12
JournalPublicationes Mathematicae
Issue number3-4
Publication statusPublished - Jan 1 2003



  • Bernoulli polynomials
  • Superelliptic equations

ASJC Scopus subject areas

  • Mathematics(all)

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