Results 51 to 60 of about 67,597,676 (252)

A Burgess-like subconvex bound for twisted L-functions [PDF]

, 2007
Let g be a cuspidal newform (holomorphic or Maass) of arbitrary level and nebentypus, X a primitive character of conductor q, and s a point on the critical line Rs = 1/2.
Michel, Philippe, Blomer, Valentin, Mao, Z., Harcos, Gergely, Blomer, V., Michel, P., Harcos, G.   +6 more
core   +2 more sources

Estimates for complete multiple exponential sums [PDF]

Acta Arithmetica, 2000
Let \(f\) be a polynomial in \({\mathbb Z}[{\mathbf x}]\) in the \(n\) variables \({\mathbf x}=(x_1,\ldots,x_n)\) with integer coefficients and total degree \(d>1\). For a positive integer \(q\), define the complete exponential sum \[ S(f;q)=\sum_{{\mathbf x} \bmod q} e_q(f({\mathbf x})), \] where the sum is taken over a complete set of residues for \({
openaire   +1 more source

Sex‐Stratified Association of Regional Dopamine Transporter Binding With Disease Progression in Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To clarify the clinical relevance of dopamine transporter single‐photon emission computed tomography (DAT‐SPECT) abnormalities in amyotrophic lateral sclerosis (ALS), with a prespecified focus on sex‐stratified associations with disease progression and short‐term prognosis.
Tomoya Kawazoe, Keizo Sugaya, Kentaro Hayashi, Keiko Hino, Yasuhiro Nakata, Kota Bokuda, Toshio Shimizu, Kazushi Takahashi   +7 more
wiley   +1 more source

Global Rather Than Vertical‐Selective Saccadic Abnormalities in Progressive Supranuclear Palsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To test whether vertical saccades are preferentially affected in Progressive Supranuclear Palsy (PSP). Methods PSP patients (n = 24) were compared to age‐matched controls (n = 94) and two degenerative groups (Alzheimer's disease, n = 20; Lewy body disease, n = 50).
Duy Duan Nguyen, Mark Paine, Soohyun Lee, Amir Fazlollahi, Baibin (Ben) Wang, John D. O'Sullivan, Peter J. Nestor   +6 more
wiley   +1 more source

Estimates of character sums with exponential function [PDF]

Acta Arithmetica, 2001
Let \(n \geq 2\) and \(\lambda\) be integers satisfying \((n, \lambda)=1\) and \(\lambda\) belonging to the exponent \(d\) modulo \(n\). Given a primitive Dirichlet character \(\chi\) mod \(n\) the author proves the estimate \[ \left|\sum_{x=1}^X \chi(a \lambda^x +b) \right|< \sqrt{n} \left( \frac{2}{\pi} \log n + \frac{7}{5} \right).
openaire   +1 more source

A Novel KCNA1 Variant in a Patient With Tremor and Autism Spectrum Disorder Causes Mixed LOF/GOF Defects of Kv1.1 Channels

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Variants in KCNA1, encoding the Kv1.1 potassium channel, cause neurological disorders including episodic ataxia and developmental and epileptic encephalopathy. We identified a novel KCNA1 variant (A401T) in a 16‐year‐old patient with autism spectrum disorder, borderline intellectual disability, and tremor, without episodic ataxia or epilepsy ...
Juan Darío Ortigoza‐Escobar, Laura Marti‐Sánchez, Loreto Martorell, Giorgia Dinoi, Antonio Vittorio Buono, Annamaria De Luca, Antonella Liantonio, Paola Imbrici   +7 more
wiley   +1 more source

Exponential Lower Bounds via Exponential Sums [PDF]

Valiant’s famous VP vs. VNP conjecture states that the symbolic permanent polynomial does not have polynomial-size algebraic circuits. However, the best upper bound on the size of the circuits computing the permanent is exponential. Informally, VNP is an
Bläser, Markus, Mukherjee, Saswata, Bhattacharjee, Somnath, Dutta, Pranjal   +3 more
core   +1 more source

Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch

International Journal of Adaptive Control and Signal Processing, EarlyView.
This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane, Salama Makni, Mourad Kchaou, Ahmed El Hajjaji   +3 more
wiley   +1 more source

Multiple exponential and character sums with monomials [PDF]

, 2014
We obtain new bounds of multivariate exponential sums with monomials, when the variables run over rather short intervals. Furthermore, we use the same method to derive estimates on similar sums with multiplicative characters to which previously known ...
Igor E. Shparlinski, Shparlinski, I., Shparlinski, Igor E   +2 more
core   +1 more source

dynoGP: Deep Gaussian Processes for Dynamic System Identification

International Journal of Adaptive Control and Signal Processing, EarlyView.
This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli, Marco Forgione, Dario Piga, Marco Zaffalon   +3 more
wiley   +1 more source