Decomposition of an integer as the sum of two cubes to a fixed modulus

Details Decomposition of an integer as the sum of two cubes to a fixed modulus Decomposition of an integer as the sum of two cubes to a fixed modulus

2011-09-02

arxiv.org/abs/1109.0451v1

Mathematics

Number Theory

Scientific paper

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 integer N 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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