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Modular Forms with Only Nonnegative Coefficients
Paul Jenkins, Jeremy Rouse
https://arxiv.org/abs/2507.17949 https://arxiv.org/pdf/2507.17949

Modular Forms with Only Nonnegative Coefficients
We study modular forms for $\textrm{SL}_2(\mathbb{Z})$ with no negative Fourier coefficients. Let $A(k)$ be the positive integer where if the first $A(k)$ Fourier coefficients of a modular form of weight $k$ for $\textrm{SL}_2(\mathbb{Z})$ are nonnegative, then all of its Fourier coefficients are nonnegative, so that $A(k)$ can be interpreted as a ``nonnegativity Sturm bound''. We give upper and lower bounds for $A(k)$, as well as an upper bound on the $n$th Fourier coefficient of any form with…

Australia announces higher emissions cuts by 2035 #Australia

Australia announces higher emission cuts by 2035
The country is one of the world's biggest carbon emitters per capita.

Sex-based Bias Inherent in the Dice Similarity Coefficient: A Model Independent Analysis for Multiple Anatomical Structures
Hartmut H\"antze, Myrthe Buser, Alessa Hering, Lisa C. Adams, Keno K. Bressem
https://arxiv.org/abs/2509.19778

Sex-based Bias Inherent in the Dice Similarity Coefficient: A Model Independent Analysis for Multiple Anatomical Structures
Overlap-based metrics such as the Dice Similarity Coefficient (DSC) penalize segmentation errors more heavily in smaller structures. As organ size differs by sex, this implies that a segmentation error of equal magnitude may result in lower DSCs in women due to their smaller average organ volumes compared to men. While previous work has examined sex-based differences in models or datasets, no study has yet investigated the potential bias introduced by the DSC itself. This study quantifies sex-b…

Bot farm busted
https://www-cbsnews-com.cdn.ampproject.org/v/s/www.cbsnews.com/amp/news/u-s-secret-service-disrupts-telecom-network-threaten…

Trafficking is #trafficking, no matter where it happens or who is targeted. This seems to be a particularly gross example. Props to the agencies involved.
https://www.cbsnews.com/news/baby-traffi…

U.S. intelligence leads to capture of alleged baby trafficking ringleader, cartel-linked "La Diabla"
The case underscores Washington's intensified targeting of Mexican cartels and marks an expansion in the way U.S. counterterrorism policy is applied.

Certain Genus 3 Siegel Cusp Forms with Level are Determined by their Fundamental Fourier Coefficients
Sidney Washburn
https://arxiv.org/abs/2507.17002 http…

Certain Genus 3 Siegel Cusp Forms with Level are Determined by their Fundamental Fourier Coefficients
We prove that vector-valued genus 3 Siegel cusp forms for $Γ_0^3(N)$ with certain nebentypus are determined by their fundamental Fourier coefficients, assuming $N$ is odd and square-free. A key step in our proof involves strengthening the known corresponding genus 2 result. More precisely, we show that genus 2 Siegel cusp forms for $Γ_0^2(N)$ with certain nebentypus are determined by their fundamental Fourier coefficients whose discriminants are coprime to $N$. We also prove that Jacobi forms…