/sci/ - Science & Math

lets simplify N^S to sine(Re(s)*Im(s)*ln(w))*cosine(Re(s)*Im(s)*ln(w))*N^Re(s)

the N^Re(s) simplifies to Re(s) were we to change the 0.5 however the it would be 2*Re(s)th root of N, as N approaches infinity this term would grow smaller and smaller making 1/(N^s) diverge thus impossible for 1/N^S to equal zero however we dont want that, with a real part of 0.5 this term will converge making it possible for it to equal zero

What are the chances that a proof exists?