MathDB
Hermite-like identity

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December 14, 2019
floor functionalgebraequations

Problem Statement

Let be a natural number n≥2. n\ge 2. Find the real numbers a a that satisfy the equation ⌊nx⌋=∑k=1n⌊x+(k−1)a⌋, \lfloor nx \rfloor =\sum_{k=1}^{n} \lfloor x+(k-1)a \rfloor , for any real numbers x. x.
Marius Perianu
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