asymptotic expansion

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asymptotic expansion

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Apr17-09, 05:27 PM	#1
zetafunction zetafunction is Offline: Posts: 143	asymptotic expansion i had the following idea but i can not prove if this is right or wrong let be $LaTeX Code: \\sum_{n} a_n exp(-an) \\sim f(a)$ then $LaTeX Code: \\sum _{n \\le x}a_{n} \\sim g(x)$ with the Laplace transform of the derivative g'(x) is equal to f(s=a) my idea is that if the first condition is true then so is the second.

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