Results 31 to 40 of about 803,219 (126)

Kloosterman sums in residue classes [PDF]

, 2015
We prove upper bounds for sums of Kloosterman sums against general arithmetic weight functions. In particular, we obtain power cancellation in sums of Kloosterman sums over arithmetic progressions, which is of square-root strength in any xed primitive ...
Milicevic, D., Milićević, Djordje, Blomer, Valentin, Blomer, V.   +3 more
core   +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

Ternary Kloosterman sums modulo 4 [PDF]

, 2012
Garaschuk and Lisoněk (2008) in [3] characterised ternary Kloosterman sums modulo 4, leaving the cases K(a)≡1(mod4) and K(a)≡3(mod4) as open problems. In this paper we complete the characterisation using well-known theorems on Gauss sums and Kloosterman ...
Göloğlu, F., F. Göloğlu
core   +1 more source

On exotic matrix exponential sums and Bessel–Speh functions

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract In a previous work with Carmon, we defined Bessel–Speh functions. These are matrix coefficients of irreducible Speh representations of GLkc(F)$\mathrm{GL}_{kc}(\mathbb {F})$, where F$\mathbb {F}$ is a finite field. They arise from (k,c)$(k,c)$ models, which are models that generalize the Whittaker model to Speh representations attached to ...
Elad Zelingher
wiley   +1 more source

Core Dimensions Predict Manifest Symptom Expression in a Community Sample With Obsessive‐Compulsive Disorder

Clinical Psychology &Psychotherapy, Volume 33, Issue 3, May/June 2026.
ABSTRACT High symptom heterogeneity in obsessive‐compulsive disorder (OCD) confounds clinical and research progress. Two notable models organize symptoms dimensionally. The first is a four‐factor model describing manifest symptoms related to germs/contamination, harm/injury/bad luck, unacceptable thoughts and symmetry.
Jordan Till, Colin T. Henning, Laura J. Summerfeldt   +2 more
wiley   +1 more source

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

Neural Oscillations Track Subjective and Pupillary Arousal During Naturalistic Movie Viewing

European Journal of Neuroscience, Volume 63, Issue 9, May 2026.
In this study, participants watched an emotionally evocative movie while EEG, pupil size and continuous subjective arousal annotations were recorded. By extracting the mean group arousal signatures, we revealed a cross‐modal convergence (r = 0.40) between the pupillary and subjective measures.
Magdalena Camenzind, Melanni Nanni‐Zepeda, Anna P. Giron, Konrad Dapper, Michael Esterman, Flavio Frohlich, Agnieszka Zuberer   +6 more
wiley   +1 more source

Minimal Polynomials and Distinctness of Kloosterman Sums [PDF]

, 1995
In this paper, we use the Stickelberger theorem on Gauss sums to study the minimal polynomial and distinctness of n-dimensional Kloosterman sums over a finite field Fq of q elements. In particular, we improve some results of Fisher [Contemp. Math.
Wan, D.
core   +1 more source

Asymptotic distribution of Kloosterman sums

, 2022
Tese de Mestrado, Matemática, 2022, Universidade de Lisboa, Faculdade de CiênciasIn this thesis, we will study Kloosterman sums which are a particular case of exponential sums. Our goal is to obtain the best possible bound for these sums.
Dias, Carlos Manuel Martins
core   +2 more sources

Asymptotic value of monitoring structures in stochastic games

Theoretical Economics, Volume 21, Issue 2, Page 535-574, May 2026.
This paper studies how improved monitoring affects the limit equilibrium payoff set for stochastic games with imperfect public monitoring. We introduce a simple generalization of Blackwell garbling called weighted garbling in order to compare different monitoring structures for this class of games.
Daehyun Kim, Ichiro Obara
wiley   +1 more source