A binary additive equation involving fractional powers

Details A binary additive equation involving fractional powers A binary additive equation involving fractional powers

2006-05-06

arxiv.org/abs/math/0605162v1

Internat. J. Number Theory. 5 (2009), 281-292

Mathematics

Number Theory

10 pages

Scientific paper

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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