Timeline for What does the generating function $x/(1 - e^{-x})$ count?
Current License: CC BY-SA 3.0
17 events
| when toggle format | what | by | license | comment | |
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| Jul 10, 2018 at 9:04 | comment | added | Tom Copeland | See also oeis.org/draft/A074909. | |
| Jun 20, 2017 at 22:32 | comment | added | Tom Copeland | See also the discussions on pg. 30 and Appendix B of "Permutohedra, associahedra, and beyond" by Postnikov of the Todd operator, which replaces powers of a variable $x^n$ by the Bernoulli polynomials $B_n(x)=(B.(0)+x)^n$, as a transform of the homogeneous volume polynomials for classes of polytopes into a generalized Ehrhart polynomial coding the number of lattice points in the polytopes. See also the Todd op in Computing the Continuous Discretely by Beck and Robins. | |
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Sep 14, 2016 at 2:10 | comment | added | Tom Copeland | See also the relations to cumulants and moments and diverse, associated diagrammatics indicated in tcjpn.wordpress.com/2014/12/23/… . | |
| Sep 13, 2016 at 0:20 | comment | added | Tom Copeland | For some other diagrammatics associated to tanh, see "Differential operators and wheels power series" by Kricker (arxiv.org/abs/0907.4563). | |
| Jan 9, 2016 at 19:44 | comment | added | Tom Copeland | See also Kirillov, "Two more variations on the triangular theme" (p. 12 and 13). | |
| Dec 8, 2015 at 13:53 | comment | added | Tom Copeland | See also the trees described on page 16 of Drakes' thesis "An inversion theorem for labelled trees ,,," people.brandeis.edu/~gessel/homepage/students/drakethesis.pdf enumerated by atanh(x) = x - x^3/3 + x^5/5 - ... and tan(x) = x + 2 x^3/3! + 16 x^5/5! + 272 x^7/7! + ..., | |
| Oct 8, 2015 at 3:34 | comment | added | Tom Copeland | Connections to Witten"s work on quantum guage theories in 2-D and the Kervaire-Milnor formula for homotopy groups of hyperspheres are noted at my website. Removed from a second newer anawer, | |
| Oct 8, 2015 at 3:26 | history | edited | Tom Copeland | CC BY-SA 3.0 |
Intro K-M formula link to remove other answer
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| Sep 25, 2015 at 20:08 | history | edited | Tom Copeland | CC BY-SA 3.0 |
Intro zag numbers and another surjection mappping
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| Sep 2, 2015 at 0:35 | history | edited | Tom Copeland | CC BY-SA 3.0 |
added 54 characters in body
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| Dec 1, 2014 at 23:19 | history | edited | Tom Copeland | CC BY-SA 3.0 |
more references
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| Nov 28, 2014 at 22:52 | history | edited | Tom Copeland | CC BY-SA 3.0 |
Added relation to volumes
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| Nov 22, 2014 at 1:36 | history | edited | Tom Copeland | CC BY-SA 3.0 |
Another graphical/analytical method.
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| Nov 20, 2014 at 23:32 | history | edited | Tom Copeland | CC BY-SA 3.0 |
added 28 characters in body
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| Nov 20, 2014 at 23:25 | history | edited | Tom Copeland | CC BY-SA 3.0 |
added 227 characters in body
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| Nov 20, 2014 at 21:45 | history | answered | Tom Copeland | CC BY-SA 3.0 |