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- W1748501552 abstract "For sufficiently large n Ramanujan gave a sufficient condition for the truth Robin's InEquality $X(n):=frac{sigma(n)}{nlnln n}<e^{gamma}$ (RIE). The largest known violation of RIE is $n_8=5040$. In this paper Robin's multipliers are split into logarithmic terms $mathcal{L}$ and relative divisor sums $mathcal{G}$. A violation of RIE above $n_{8}$ is proposed to imply oscillations that cause $mathcal{G}$ to exceed $mathcal{L}$. To this aim Alaoglu and ErdH{o}s's conjecture for the CA numbers algorithm is used and the paper's key points are in section 4.2" @default.
- W1748501552 created "2016-06-24" @default.
- W1748501552 creator A5052516160 @default.
- W1748501552 date "2013-08-08" @default.
- W1748501552 modified "2023-09-27" @default.
- W1748501552 title "Preventing Exceptions to Robins InEquality" @default.
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