I'm trying to use the saddle point method to solve the following integral:
Z = (1/sqrt{2 pi t}) ∫_{1}^{infinity} ds (1/sqrt{2 pi s}) exp{ p [-s ln(s/t) +s] } cos(2 pi L~ p ~ s), as p → infinity
Mod edit to make integral more readable:
$$Z = \frac{1}{\sqrt{2\pi t}} \int_1^{\infty} \frac 1...