Related papers: On Romanoff's theorem

We generalize Romanoff's theorem. Also, we obtain a result on sums related to Euler's totient function.

We prove some new results related to Tanaka's formula.

We prove several extensions of the Erdos-Fuchs theorem.

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We obtain some new inequalities of Chebyshev Type.

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We summarize results concerning the Bernstein property of differential equations.

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We answer negatively a 2014 problem of Yang and Chen on Romanoff type representations. Sharp results involving their problem were also obtained in this article.

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