Timeline for The mean value of $y \log{y}$ over the ordinates of the CM points
Current License: CC BY-SA 3.0
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| Jun 27, 2017 at 20:58 | comment | added | Vesselin Dimitrov | Thanks much for the insightful answer! In a sense, one can repeatedly derive Eisenstein series and look at the full Laurent expansion at $s = 1$ of the partial zeta functions making up $\zeta_{\mathbb{Q}(\sqrt{-D})}(s)$, and use these to establish the expected formula for $\varphi(t) = t (\log{t})^m$, with any fixed $m \in \mathbb{N}_0$, under the Riemann hypothesis for $L(s,\chi_D)$. | |
| Jun 27, 2017 at 17:12 | history | answered | Will Sawin | CC BY-SA 3.0 |