# On the solutions of the equation x^3+ax=b in Z\*\_3 with coefficients from Q\_3

Source: [On the solutions of the equation x^3+ax=b in Z\*\_3 with coefficients from Q\_3](<https://www.sota2.com/research/paper/68fa50891e209131ce96c350>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:55:30.125Z

Authors: Rikhsiboev I.M., Khudoyberdiyev A.Kh., Kurbanbaev T.K., Masutova K.K

Published: 2011-10-05T14:54:41.000Z

## Abstract

In this paper we present the algorithm of finding the solutions of the equation $x^3+ax=b$ in $\\mathbb{Z}^\*\_3$ with coefficients from $\\mathbb{Q}\_3$.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1110.1010>)

[PDF](<https://arxiv.org/pdf/1110.1010.pdf>)