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\title{Amicable Numbers}
\author{Angeliki Koutsoukou-Argyraki}
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\begin{abstract}
This is a formalisation of Amicable Numbers, involving some relevant material including
Euler's sigma function, some relevant definitions, results and examples as well as rules such as Th\={a}bit ibn Qurra's Rule, Euler's Rule, te Riele's Rule and Borho's Rule with breeders.
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The main sources are \cite{garciaetal1} \cite{garciaetal2}. Some auxiliary material can be found in \cite{escott} \cite{sandifer}. If not otherwise stated, the source of definitions is \cite{garciaetal1}. In a few definitions where we refer to Wikipedia articles \cite{aliquotwiki} \cite{amicwiki} \cite{betrothedwiki} this is explicitly mentioned.
\end{abstract}

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