Constants are usually real numbers e.g. e, pi, gamma etc. Can you give examples of special constants that are not real? e.g. complex or p-adic constants.

A real number in base10 can be viewed as the coefficients of a power series evaluated at x=1/10, so I suppose a constant in another context such as a complete ring could just be some value of a function evaluated at some point. Can you give examples of such a value that could be considered as a special mathematical constant.

More generally a whole object such as a set or group could be thought of as a constant if it appeared in many formulae relating such objects.

Mathematical Constants(CUP 2003) (unfortunately, I don't have nearby). – Wadim Zudilin May 15 '10 at 13:03