zetafunction
Feb16-11, 10:35 AM
i have the integral equation
1-e^{-x} = \int_{0}^{\infty}\frac{dt}{t} F((xt)^{1/2})f(1/t)
from this equation could we conclude that f(x)= O(x^{1/4+e}) with e-->0
F(x)=x-[x] is the fractional part of number 'x'
1-e^{-x} = \int_{0}^{\infty}\frac{dt}{t} F((xt)^{1/2})f(1/t)
from this equation could we conclude that f(x)= O(x^{1/4+e}) with e-->0
F(x)=x-[x] is the fractional part of number 'x'