We refine a recent result of Li-Wang on the values of the form $\lambda_1 p_1 +\lambda_2p_2^2 +\lambda_3p_3^2+\lambda_4p_4^2$, where $p_1,p_2,p_3,p_4$ are prime numbers, $\lambda_1,\lambda_2,\lambda_{3}, \lambda_{4}$ are nonzero real numbers, not all of the same sign, and $\lambda_1 / \lambda_2$ is irrational.
A Diophantine problem with a prime and three squares of primes
LANGUASCO, ALESSANDRO;
2012
Abstract
We refine a recent result of Li-Wang on the values of the form $\lambda_1 p_1 +\lambda_2p_2^2 +\lambda_3p_3^2+\lambda_4p_4^2$, where $p_1,p_2,p_3,p_4$ are prime numbers, $\lambda_1,\lambda_2,\lambda_{3}, \lambda_{4}$ are nonzero real numbers, not all of the same sign, and $\lambda_1 / \lambda_2$ is irrational.
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