On sums of two cubes: an Ω₊-estimate for the error term

Volume 85 / 1998

M. Kühleitner, W. Nowak, J. Schoissengeier, T. Wooley Acta Arithmetica 85 (1998), 179-195 DOI: 10.4064/aa-85-2-179-195

Abstract

The arithmetic function $r_k(n)$ counts the number of ways to write a natural number n as a sum of two kth powers (k ≥ 2 fixed). The investigation of the asymptotic behaviour of the Dirichlet summatory function of $r_k(n)$ leads in a natural way to a certain error term $P_{

Authors

  • M. Kühleitner
  • W. Nowak
  • J. Schoissengeier
  • T. Wooley

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