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Old May24-09, 04:49 PM                  #1
zetafunction

zetafunction is Offline:
Posts: 143
smoothed sums

the question is, i wish to calculate the sum

LaTeX Code:  \\sum_{ n=1}^{N}a(n)  for big N

then you can introduce a so called smoothed sum LaTeX Code:  \\sum_{ n=1}^{\\infty}a(n)\\phi (n/N)

the idea is that phi is an smoothed function that tends to zero very fast when n > N so the infinite sum is almost equal to the finite one, the question is how can i calculate this smoothed sums ??
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