| 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 |
