User blog comment:Cloudy176/My large number site is back up and running!/@comment-1605058-20160430191407

Since you made a new post about your number list, I might take that opportunity to point out this-and-that.


 * i^i is not a single number. Its value depends on what branch of complex logarithm we take. For example, e^(3iπ)=-1 as well, and this gives i^i=e^(-3π/2). However, there is a designated branch of logarithm called the principal branch, and e^(-π/2) is sometimes called the principal value of i^i.
 * In the entry on Euler-Mascheroni number, you write "As n approaches infinity, the sum [of harmonic series] approaches ln(n) + γ." This isn't technically correct, what should be sais is that 1 + 1/2 + 1/3 + 1/4 + ... + 1/n - ln(n) approaches γ.
 * In the entry on 1/sqrt(2) you write "It is one of the four inputs (between 0˚ and 360˚) that the sine and cosine function produce the same output." This and next sentence sound like you refer to the angle, while you refer to the value of sine and cosine that angle gives.
 * In the entry on ζ(4) you write "Unlike ζ(3) = 1.202057..., this number has a compact expression.". Actually, ζ(3) has a compact expression, namely "ζ(3)". I suppose this is just a poor choice of words. Same goes for the last sentence in entry on ζ(3).
 * There is a serious typo in the entry on ζ(3): it is defined as 1/1^3+1/2^3+1/3^3+1/4^3+... Similar typo in the entry on ζ(2).
 * In the entry on golden ratio, you write "...the ratio a_n/a_(n-1) converges to φ." which is true if a_0,a_1 are positive, but not necessarily otherwise: consider a_n=x^n, where x is the negative root of x^2=x+1.
 * In the entry of pi, you need to remark it's not a root of any non-zero polynomial P(x).