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We prove that if the generating function $G$ of $\\Lambda$ satisfies Muckenhoupt $(A_2)$ condition on $\\mathbb{R}$, then this series admits a linear summation method. 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We prove that if the generating function $G$ of $\\Lambda$ satisfies Muckenhoupt $(A_2)$ condition on $\\mathbb{R}$, then this series admits a linear summation method. 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