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DIAMOND DRAGON - Catgirl Cyberpunk Action! ( Updated 6/19/25 ) - Gameplay Mods - Doomworld
https://www.doomworld.com/forum/topic/153613-diamond-dragon-catgirl-cyberpunk-action-updated-61925/

Nonvanishing of $L$--functions associated to fixed order characters over function fields
Chantal David, Alexandra Florea, Matilde Lalin
https://arxiv.org/abs/2506.07815

Nonvanishing of $L$--functions associated to fixed order characters over function fields
We show that a positive proportion of the values $L(1/2,χ_c)$ are non-zero, where $χ_c$ is the $\ell^{\text{th}}$ residue symbol for $\ell \geq 3$ over $\mathbb{F}_q[t]$, when averaging over square-free polynomials $c$ in $\mathbb{F}_q[t]$, as $q \equiv 1(\textrm{mod}\,{2\ell})$ is fixed and the degree of $c$ goes to infinity. In the case of $\ell=3$, we show that at least $1/6$ of $L(1/2,χ_c)\neq 0$, while for $\ell>3$, the proportion depends on the order of the character. This improves a p…

Free Circle Actions on the Product of Three Spheres
Dimpi, Hemant Kumar Singh
https://arxiv.org/abs/2505.21993 https://arxiv.org/pdf/…

Free Circle Actions on the Product of Three Spheres
The orbit spaces of free S^0-actions on the mod 2 cohomology product of three spheres, S^n x S^m x S^l, 1 <= n <= m <= l have been determined in [6]. In this paper, we extend these findings to free S^1-actions on the rational cohomology product of three spheres. This extension also builds upon the work of Dotzel et al. [7], who studied free circle actions on the rational cohomology product of two spheres. Additionally, we establish Borsuk-Ulam type theorems.