# Special Sums

**URL:** <https://community.wolfram.com/t/special-sums/3996>\
**Category:** Ideas\
**Created:** [November 14, 2014, 9:44pm UTC](https://community.wolfram.com/t/special-sums/3996 "2014-11-14T21:44:17Z")\
**Posts on this page:** 1\
**Page:** 1

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**Author:** ![bmmmburns](https://yyz1.discourse-cdn.com/wolfram/user_avatar/community.wolfram.com/bmmmburns/32/3126_2.png) [@bmmmburns](https://community.wolfram.com/u/bmmmburns)\
**Post date:** [November 14, 2014, 9:44pm UTC](https://community.wolfram.com/t/special-sums/3996/1 "2014-11-14T21:44:17Z")

</div>

Here are two equations many people don’t know.

 ![2677a.jpg](https://global.discourse-cdn.com/wolfram/original/2X/4/4e55a025f3e643e107f92d3522115d2bbf9e2daf.jpeg)

Attached are the two equations in Mathematica.

[[[1]] S.R.Finch, Mathematical Constants, Cambridge, 2003, p. 450](https://community.wolfram.com/c/portal/getImageAttachment?filename=40401.JPG&userId=366611)

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 ![40401.JPG](https://global.discourse-cdn.com/wolfram/original/3X/d/0/d0ae19222b41537125a32c2ce8189546d3e80803.jpeg)

[[2]] R.J.Mathar, Numerical evaluation of the oscillatory integral   
over exp (i_pi_x) x^(1/x) between 1 and infinity arxiv :  
0912.3844[math.CA]] [[0912.3844] Numerical Evaluation Of the Oscillatory Integral over exp(i\*pi\*x)\*x^(1/x) between 1 and infinity](http://arxiv.org/abs/0912.3844)

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 ![18912.JPG](https://global.discourse-cdn.com/wolfram/original/3X/0/2/0260173fc19e4a5accb8d565eca684da58826b9a.jpeg)