Talk:Riesz function

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"The Maclaurin series coefficients of F increase in absolute value until they reach their maximum at the 40th term of -1.753 x 1017. By the 109th term they have dropped below one in absolute value." For what value of z? (In the former case, I calculate z must be (about) 38.8; and the latter, the value is certainly not the same ...)
What value of z <it>are</it> we talking about here?
It is also worth noting that:
\ {\sum_{n=1}^\infty \rm Riesz(z/n^2) = z*exp(-z)}.
See Riesz's original paper ...

[edit] Notation in original Riesz paper

Reading the original paper by Riesz, it is necessary to beware of his non-standard usage, especially in respect of variable in the Mellin transform - which is idiosyncratic, and not in conformity with modern usage! Hair Commodore (talk) 12:24, 3 June 2008 (UTC)