Results 91 to 100 of about 123,886 (231)

Research on group type theory and its functorial semantic models in category logic. [PDF]

PLoS One
Tang JG, Aishan Y, Liu JY, Peng JY.
europepmc   +1 more source

Upper bounds for moments of Dirichlet L$L$‐functions to a fixed modulus

Mathematika, Volume 71, Issue 4, October 2025.
Abstract We study the 2kth$2k{\rm th}$ moment of central values of the family of Dirichlet L$L$‐functions to a fixed prime modulus and establish sharp upper bounds for all real k∈[0,2]$k \in [0,2]$.
Peng Gao, Liangyi Zhao
wiley   +1 more source

Machine learning predictions from unpredictable chaos. [PDF]

J R Soc Interface
Jiang J, Chen L, Ke L, Dou B, Zhu Y, Shi Y, Qiu H, Zhang BG, Zhou T, Wei GW.   +9 more
europepmc   +1 more source

Soft bounds for local triple products and the subconvexity‐QUE implication for GL2$\mathrm{GL}_2$

Mathematika, Volume 71, Issue 4, October 2025.
Abstract We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity.
Paul D. Nelson
wiley   +1 more source

Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]

Mach Learn Sci Technol
Papillon M, Sanborn S, Mathe J, Cornelis L, Bertics A, Buracas D, J Lillemark H, Shewmake C, Dinc F, Pennec X, Miolane N.   +10 more
europepmc   +1 more source

On type IV superorthogonality

Mathematika, Volume 71, Issue 4, October 2025.
Abstract We prove the direct and the converse inequalities for type IV superorthogonality in the vector‐valued setting. The converse one is also new in the scalar setting.
Jianghao Zhang
wiley   +1 more source

On Hodge polynomials for nonalgebraic complex manifolds. [PDF]

Proc Natl Acad Sci U S A
Katzarkov L, Lee KS, Lupercio E, Meersseman L.   +3 more
europepmc   +1 more source

Counting primes with a given primitive root, uniformly

Mathematika, Volume 71, Issue 4, October 2025.
Abstract The celebrated Artin conjecture on primitive roots asserts that given any integer g$g$ that is neither −1$-1$ nor a perfect square, there is an explicit constant A(g)>0$A(g)>0$ such that the number Π(x;g)$\Pi (x;g)$ of primes p⩽x$p\leqslant x$ for which g$g$ is a primitive root is asymptotically A(g)π(x)$A(g)\pi (x)$ as x→∞$x\rightarrow \infty$
Kai (Steve) Fan, Paul Pollack
wiley   +1 more source

Adaptive connectivity control in networked multi-agent systems: A distributed approach. [PDF]

PLoS One
Križmančić M, Bogdan S.
europepmc   +1 more source

Monotonicity of functionals associated to product measures via their Fourier transform and applications

Mathematika, Volume 71, Issue 4, October 2025.
Abstract Let μ$\mu$ be a probability measure on R$\mathbb {R}$. We give conditions on the Fourier transform of its density for functionals of the form H(a)=∫Rnh(⟨a,x⟩)μn(dx)$H(a)=\int _{\mathbb {R}^n}h(\langle a,x\rangle)\mu ^n(dx)$ to be Schur monotone. As applications, we put certain known and new results under the same umbrella, given by a condition
Andreas Malliaris
wiley   +1 more source