Tsirekidze, David; Avoyan, Ala Decomposition of an integer as a sum of two cubes to a fixed modulus. (English) Zbl 1299.11032 Mat. Vesn. 65, No. 3, 383-386 (2013). Summary: The representation of any integer as the sum of two cubes to a fixed modulus is always possible if and only if the modulus is not divisible by seven or nine. For a positive non-prime power there is given an inductive way to find its remainders that can be represented as the sum of two cubes to a fixed modulus \(N\). Moreover, it is possible to find the components of this representation. MSC: 11D25 Cubic and quartic Diophantine equations 11A07 Congruences; primitive roots; residue systems 11D85 Representation problems Keywords:cubic Diophantine equation PDFBibTeX XMLCite \textit{D. Tsirekidze} and \textit{A. Avoyan}, Mat. Vesn. 65, No. 3, 383--386 (2013; Zbl 1299.11032) Full Text: arXiv