Summing with Euler_phi Error

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david8381
23 ●4 ●5 ●8

New to sage, having some trouble with summation.

z, k both declared as variables.

sum((euler_phi(k)/k)log(1/(1-2z^k)),k,2,5)

Error: not an integer argument in an arithmetic function (18) If I change it to euler_phi(5)/5 it's fine.

1 Answer

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I guess this is because euler_phi does not accept symbolic argument

sage: var('z')
sage: euler_phi(z)
Traceback (most recent call last):
...
PariError: not an integer argument in an arithmetic function (18)

Nevertheless, you can do

sage: sum((euler_phi(k)/k)*log(1/(1-2*z^k)) for k in xrange(2,5))
1/2*log(-1/(2*z^4 - 1)) + 2/3*log(-1/(2*z^3 - 1)) + 1/2*log(-1/(2*z^2 - 1))

kcrisman ( 11 years ago )

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Asked: 11 years ago

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Last updated: Jul 10 '13