Editing Automorphic number (section)

===''a''-automorphic numbers===
An <math>a</math>-'''automorphic number''' occurs when the polynomial function is <math>f(x) = ax^2</math> 

For example, with <math>b = 10</math> and <math>a = 2</math>, as there are two fixed points for <math>f(x) = 2x^2</math> in <math>\mathbb{Z}/10\mathbb{Z}</math> (<math>x = 0</math> and <math>x = 8</math>), according to [[Hensel's lemma]] there are two 10-adic fixed points for <math>f(x) = 2x^2</math>, 
: <math>\ldots 0000000000</math>
: <math>\ldots 0893554688</math>
so the 2-automorphic numbers in base 10 are 0, 8, 88, 688, 4688...