zetafunction
Jun26-11, 04:10 PM
let be a rational function of 'n' variables
\frac{P(x1,x2,.....,xn)}{Q(x1,x2,.....,xn)}=R(x1,x 2,x3,..,xn)
then can we found a Polynomial on n-variables so the difference
R(x1,x2,....,xn)- K(x1,x2,...,xn)
is integrable over the interval (0, \infty) x (0,\infty) x..... (0, \infty)
the idea is that the integral over a Rational function can be divergent but if we extract some polynomial terms then it becomes convergent.
\frac{P(x1,x2,.....,xn)}{Q(x1,x2,.....,xn)}=R(x1,x 2,x3,..,xn)
then can we found a Polynomial on n-variables so the difference
R(x1,x2,....,xn)- K(x1,x2,...,xn)
is integrable over the interval (0, \infty) x (0,\infty) x..... (0, \infty)
the idea is that the integral over a Rational function can be divergent but if we extract some polynomial terms then it becomes convergent.