On a certain asymptotic relationship involving $\vartheta(t) - \lfloor t \rfloor$ and $t^{1/2}$

Details On a certain asymptotic relationship involving $\vartheta(t) - \lfloor t \rfloor$ and $t^{1/2}$ On a certain asymptotic relationship involving $\vartheta(t) - \lfloor t \rfloor$ and $t^{1/2}$

2008-06-10

arxiv.org/abs/0806.1571v4

Mathematics

General Mathematics

Withdrawn; this work is completely nonsense

Scientific paper

Let $\lfloor t \rfloor$ denote the greatest positive integer less than or
equal to a given positive real number $t$ and $\vartheta(t)$ the Chebyshev
$\vartheta$-function. In this paper, we prove a certain asymptotic relationship
involving $\vartheta(t) - \lfloor t \rfloor $ and $t^{1/2}$.

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