MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Decomposition of an integer as a sum of two cubes to a fixed modulus
David Tsirekidze and Ala Avoyan

Abstract

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.

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Keywords: Sum of two cubes; Diophantine equation.

MSC: 11A07, 11B50, 11D25

Pages:  383--386     

Volume  65 ,  Issue  3 ,  2013