Tootfinder

Good Ramanujan Expansions: A suitably enhanced decay of coefficients has important consequences
Giovanni Coppola
https://arxiv.org/abs/2509.24456 https://a…

Good Ramanujan Expansions: A suitably enhanced decay of coefficients has important consequences
In this self-contained short note, we introduce the new definition of Good Ramanujan Expansion, say G.R.E., for a fixed arithmetic function $F$, building upon a good decay of its coefficients $G$; this, gains $\log-$powers w.r.t. the trivial bound for $G$ and precisely $\log^{1+η}$, where the present parameter $η>0$ is real. This property alone has important consequences for all the $F$ having a G.R.E. : mainly, 1) the Eratosthenes Transform $F'$ of our $F$ is infinitesimal (see in Theorem 1)…

Since leaving the US, things have gotten a lot better for me but it's still hard existing under capitalism. Just being a human is hard enough, but parenting is an order or magnitude harder.
Even here, with all the complexity of being an immigrant, it's somehow still less emotionally challenging than being in the US.
I wrote up a reflection on some of my feelings before leaving tangled up with some of the challenges I still have. I hope this helps some folks feel less alone, or makes it easier for other folks to understand why some parents are having a hard time.
CW: just.... Lots... Death, gun violence, trauma, etc
#USPol

On the formation of star-forming galaxies having anomalously low-metallicity regions: the role of galaxy interaction and CGM/IGM accretion
Yibo Cao, Zhizheng Pan
https://arxiv.org/abs/2509.19795

On the formation of star-forming galaxies having anomalously low-metallicity regions: the role of galaxy interaction and CGM/IGM accretion
Gas accretion from both the circum-galactic medium (CGM)/inter-galatic medium (IGM) and interacting companion galaxy can dilute the gas phase metallicity of a galaxy. However, their relative contribution to the chemical evolution of galaxies remains to be quantified. To this end, in this work we study a sample of 510 star-forming galaxies (SFGs) having anomalously low-metallicity (ALM) regions selected from the MaNGA data available in the Data Release 17 from the Sloan Digital Sky Survey. ALM r…

After recently having played that Alien horror game I’m not sure if I should trust this

I am having severe issues with LSPs.
Now it is Rust Analyzer.
Before I had OOMs with the Go LSP.
And I am not alone; there are many posts like this.
Regardless of editors.
People report it with VSCode and NeoVim.
I guess I will get back to Zed again for now.
Just the conveniences of auto-complete, going to definitions, keyboard-only use and nice integration with a terminal is what I'm after.
I know that IDEs have terminal panes, but they are cumbe…

There are over one million public #EV charging points in the EU and over 100,000 in Belgium 🇧🇪 alone. It is a lighthouse for Europe, having more than doubled the number of charging points in the past year and a half!
And if Amsterdam 🇳🇱 were an EU Member State, it would rank 11th with 15,803 public EV charging points, ahead of 17 countries.

Yesterday, Belgium 🇧🇪 celebrated reaching the milestone of 100,000 public EV charging points. Across the European Union 🇪🇺, there are now over one million public EV charging points, not to… | Jaap Burger
Yesterday, Belgium 🇧🇪 celebrated reaching the milestone of 100,000 public EV charging points. Across the European Union 🇪🇺, there are now over one million public EV charging points, not to mention the many more private ones found at homes and workplaces. Belgium has seen significant growth in the number of EV charging points, both private and public, in line with the expansion of the electric car fleet. In 2018, there were just 3,038 public EV charging points, but this figure has s…

Having slept on it, I think Lance Henriksen's character was absolutely right.
He left his young child perfectly safe: alone in the middle of nowhere, in charge of a convenience store full of goods and money, with six strange teenagers who'd asked me for beer before two of them couldn't wait to start showing off on dirt bikes and starting doing stunts next to the store.
And, when he returned to find his child badly injured, he did the right thing: picking him up witho…

"The surest way to screw up the world’s best technical school is to let feds tell them how to run it," Massie wrote. "Congrats to my alma mater for turning down a bribe to let the executive branch dictate what happens on its campus."
GOP lawmaker praises university for standing up to Trump: 'Congrats to my alma mater' - Raw Story
https://www.rawstory.com/massie-praises-mit-bucking-trump/

Integer-valued polynomials satisfying growth constraints
Avner Kiro, Alon Nishry
https://arxiv.org/abs/2508.17335 https://arxiv.org/pdf/2508.17335

Integer-valued polynomials satisfying growth constraints
We consider polynomials which take integer values on the integers (IVPs), and satisfy an additional growth condition on the natural numbers. Elkies and Speyer, answering a question by Dimitrov, showed there is a critical exponential growth threshold, such that there are infinitely many IVPs with growth above the threshold and finitely many IVPs below that threshold (of arbitrary degree). In this paper, we give more refined estimates for the number of IVPs having exponential growth thresholds. I…

Having some apps now liquid ass and some using the old design—the old design is much clearer and much less intrusive and much more “leave the content alone”