Timeline for Do Bernoulli polynomials know about face vectors?
Current License: CC BY-SA 4.0
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| Nov 18, 2020 at 18:21 | comment | added | Brian Hopkins | It would be even crazier if all of this connected to the Ramanujan partition congruences which hold (in the most thorough sense) only modulo 5, 7, and 11. | |
| Nov 16, 2020 at 13:33 | comment | added | David Richter | Another observation: The coefficients -2, 4, and 50 are the negatives of the respective Euler characteristics of these surfaces which seem to correspond to $F_5$, $F_7$ and $F_{11}$. | |
| Nov 16, 2020 at 12:37 | comment | added | David Richter | There is a "regular" triangulation of a genus 26 surface related to the group PSL(2,11). This has 60 vertices, 330 edges, and 220 triangles. It is described in this article by Ioannis Ivrissimtzis, David Singerman, and James Strudwick: arxiv.org/abs/1909.08568. Seeing $660F_{11}$ here, one again notices some coincidences in the coefficients. Here, one must add the coefficients of the terms of degree 9, 7, 5, and 3 to get the number 220 of triangles. | |
| Nov 16, 2020 at 3:26 | history | edited | Brian Hopkins | CC BY-SA 4.0 |
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| Nov 16, 2020 at 3:19 | history | edited | Brian Hopkins | CC BY-SA 4.0 |
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| Nov 16, 2020 at 1:03 | history | answered | Brian Hopkins | CC BY-SA 4.0 |