Results 61 to 70 of about 78,424 (131)

Murmurations via Petersson trace formula

Mathematika, Volume 72, Issue 4, October 2026.
Abstract We prove the murmuration phenomenon, which is a correlation between signs of functional equations and Fourier coefficients, in the case of modular forms in the weight aspect. We in particular improve the range of visibility of murmurations compared to previous results.
Chan Ieong Kuan, Didier Lesesvre
wiley   +1 more source

A Stochastic Approach for Recovery Times of Coastal Dune Vegetation

Geophysical Research Letters, Volume 53, Issue 17, 16 September 2026.
Abstract The resilience of coastal dunes to environmental stress largely depends on vegetation recovery, which promotes sediment trapping and sand stabilization. However, post‐disturbance recovery dynamics remain difficult to quantify due to the complex interplay between biotic and abiotic processes.
D. Demichele, C. Camporeale
wiley   +1 more source

Airy Sums, Kloosterman Sums, and Salié Sums

Journal of Number Theory, 1997
In 1993 \textit{W. Duke} and \textit{H. Iwaniec} proved that a certain class of cubic exponential sums can be expressed through Kloosterman sums twisted by a cubic character [Contemp. Math. 143, 255-258 (1993; Zbl 0792.11029)]. Their proof made use of one of the Davenport-Hasse theorems.
openaire   +1 more source

Catecholaminergic Contributions to Inhibitory Control Following Physical Fatigue: Behavioral and Neurophysiological Findings

European Journal of Sport Science, Volume 26, Issue 9, September 2026.
ABSTRACT Acute physical fatigue can impair cognitive control, yet its underlying neurochemical mechanisms remain unclear. This study investigated whether catecholaminergic modulation influences behavioral and neural markers of inhibitory control following physical fatigue.
Y. Laurisa Arenales Arauz, Nina Omejc, Maria Alejandra Diaz, Jelle Habay, Bram Vanderborght, Kevin De Pauw, Bart Roelands, Uros Marusic   +7 more
wiley   +1 more source

Prenatal Stress Induced by Maternal Immune Activation Disrupts GABAergic Inhibition and Mossy Fiber Plasticity in the Rat Dentate Gyrus‐CA3 Circuit

Hippocampus, Volume 36, Issue 5, September 2026.
ABSTRACT Viral infections during critical periods of pregnancy trigger inflammatory responses that alter offspring brain development and behavior, resulting in psychiatric disorder‐associated phenotypes. This condition is commonly referred to as prenatal stress induced by maternal immune activation (MIA).
Johaly Anguiano‐Buenfil, Isabel Sollozo‐Dupont, Luis A. Márquez, Angelica Zepeda, Emilio J. Galván   +4 more
wiley   +1 more source

A transform property of Kloosterman sums

Discrete Applied Mathematics, 2010
Kloosterman sums \(K_k(a,b)\) are of interest in many parts of mathematics. They are defined as \(K_k(a,b)=\sum_{\gamma \in {\mathbb{F}_{q^k}^\ast}}\chi(\text{trace}(a\gamma+b\gamma^{-1})\), where \(\chi\) in an additive character of the finite field \({\mathbb F}_{q}\). Here \(q\) is a prime power and the trace is relative to \({\mathbb F}_q\).
Ian F. Blake, Theodoulos Garefalakis
openaire   +1 more source

Artificial intelligence driven diet‐intestinal microbiota‐host health integration: A four‐dimensional paradigm for advancing host wellness research

iMetaOmics, Volume 3, Issue 3, September 2026.
This graphical abstract presents a novel Diet‐Artificial Intelligence (AI)‐intestinal Microbiota–Host Health paradigm integrating microbiota‐centric pathways and an AI‐driven multi‐omics workflow. Diet shapes gut bacteria that regulate intestinal mucosal integrity, immune signaling, and gut–brain neurotransmitters to influence host health.
Tianle He, Shuobo Zhang, Jiaxin Chen, Xiaoling Zheng, Jixin Zhao, Huifeng Li, Jiani Mao, Ju Luo, Jundan Zheng, Dengjun Ma, Lihong Wang, Junhui Liu, Wen Tian, Shuangming Yang, Chengli Liu, Ke Tian, Zhenguo Yang   +16 more
wiley   +1 more source

Sums of multidimensional Kloosterman sums

Periodica Mathematica Hungarica
Abstract We obtain a new bound on certain multiple sums with multidimensional Kloosterman sums. In particular, these bounds show the existence of nontrivial cancellations between such sums in very small families.
openaire   +1 more source

Kloosterman sums with multiplicative coefficients [PDF]

Izvestiya: Mathematics, 2018
The series of some new estimates for the sums of the type \[ S_{q}(x;f)\,=\,\mathop{{\sum}'}\limits_{n\leqslant x}f(n)e_{q}(an^{*}+bn) \] is obtained. Here $q$ is a sufficiently large integer, $\sqrt{q}(\log{q})\!\ll\!x\leqslant q$, $a,b$ are integers, $(a,q)=1$, $e_{q}(v) = e^{2πiv/q}$, $f(n)$ is a multiplicative function, $nn^{*}\equiv 1 \pmod{q ...
openaire   +3 more sources

Second moments of Dirichlet $L$-functions weighted by Kloosterman sums [PDF]

, 2012
summary:For the general modulo $q\geq 3$ and a general multiplicative character $\chi $ modulo $q$, the upper bound estimate of $ |S(m, n, 1, \chi , q)| $ is a very complex and difficult problem. In most cases, the Weil type bound for $ |S(m, n, 1, \chi ,
Wang, Tingting
core   +1 more source