Timeline for Witten zeta function v.s. Riemann zeta function
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| S Oct 22, 2021 at 22:03 | history | bounty ended | CommunityBot | ||
| S Oct 22, 2021 at 22:03 | history | notice removed | CommunityBot | ||
| S Oct 14, 2021 at 20:24 | history | bounty started | GSM | ||
| S Oct 14, 2021 at 20:24 | history | notice added | GSM | Authoritative reference needed | |
| Oct 31, 2018 at 11:56 | comment | added | A Stasinski | Regarding Q1: Have you checked to what extent Witten's paper answers this? Regarding Q2: $U(1)$ has infinitely many one-dimensional representations, so it doesn't have a Witten zeta function. As for $SU(n)$, its Witten zeta function is, as far as I know, unrelated to classical zeta/$L$ functions such as Dedekind zetas (or at least not related in an easy way). While some of its properties, like special values at even positive integers, mirror those of some classical zeta functions, other properties, like the apparent lack of a functional equation, break the analogy. | |
| Oct 31, 2018 at 7:48 | comment | added | abx | The article by Witten that you mention gives an exact formula. For instance for $\operatorname{SU}(2) $, the proportionality factor is just $2(2\pi ^2)^{1-g}$. | |
| Oct 30, 2018 at 21:17 | history | asked | wonderich | CC BY-SA 4.0 |