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arxiv: math/0605162 · v1 · pith:THNKMCYQnew · submitted 2006-05-06 · 🧮 math.NT

A binary additive equation involving fractional powers

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keywords additivebinaryequationnumberfixedfractionalintegerinvolving
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We study the solubility of the binary additive equation $[m^c] + [p^c] = n$, where $m$ is an integer, $p$ is a prime number, and $c$ is a fixed real number in the range $1 < c < 3/2$.

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