We refine a recent result of Parsell on the values of the form $\lambda_1 p_1 +\lambda_2p_2 + \mu_1 2^{m_1} + \dotsm + \mu_s 2^{m_s}$, where $p_1,p_2$ are prime numbers, $m_1,\dotsc, m_s$ are positive integers, $\lambda_1 / \lambda_2$ is negative and irrational and $\lambda_1 / \mu_1$, $\lambda_2/\mu_2 \in \Q$.
On a Diophantine problem with two primes and s powers of two
LANGUASCO, ALESSANDRO;
2010
Abstract
We refine a recent result of Parsell on the values of the form $\lambda_1 p_1 +\lambda_2p_2 + \mu_1 2^{m_1} + \dotsm + \mu_s 2^{m_s}$, where $p_1,p_2$ are prime numbers, $m_1,\dotsc, m_s$ are positive integers, $\lambda_1 / \lambda_2$ is negative and irrational and $\lambda_1 / \mu_1$, $\lambda_2/\mu_2 \in \Q$.File in questo prodotto:
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