Expressing an integer as a sum of cubes of polynomials

Ajai Choudhry

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arXiv · 2311.07325

Expressing an integer as a sum of cubes of polynomials

Ajai Choudhry

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Abstract

In this paper we prove that there exist infinitely many integers which can be expressed as a sum of four cubes of polynomials with integer coefficients. We give several identities that express the integers 1 and 2 as a sum of four cubes of polynomials. We also show that every integer can be expressed as a sum of five cubes of polynomials with integer coefficients.

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Ajai Choudhry. 2023-11-13. Expressing an integer as a sum of cubes of polynomials. https://arxiv.org/abs/2311.07325

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