Results 101 to 110 of about 51,880 (308)
FEBS Open Bio, EarlyView.Under environmental changes, the expression level of neuropeptide (NP) and neuropeptide receptor (NPR) genes changes to confer context‐dependent adaptation to the model organism Drosophila melanogaster. Through finding more regulatory elements in the NPR genes in comparison with their ligands (NPs), we found that NPR‐biased transcriptional regulation ...
SeungHeui Ryu +6 more
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Tryptophan metabolite atlas uncovers organ, age, and sex‐specific variations
FEBS Open Bio, EarlyView.Tryptophan metabolites were analyzed across twelve organs, the central nervous system, and serum in male and female mice at three life stages. We found tissue‐, sex‐, and age‐specific differences, including increased indole‐3‐pyruvate and kynurenine in aging males.
Lizbeth Perez‐Castro +8 more
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Integrated Partial Sums of Convolutions of Univalent Functions
Journal of Mathematical Analysis and Applications, 1993 Let \({\mathcal A}_ 0\) denote the class of functions \(f(z)= z+ \sum^ \infty_{k=2} a_ k z^ k\) analytic in the unit disk \(U\), and let \(S\) denote the class of functions \(f\) in \({\mathcal A}_ 0\) which are univalent in \(U\). For \(f(z)= z+\sum^ \infty_{k=2} a_ k z^ k\) and \(g(z)= z+\sum^ \infty_{k=2} b_ k z^ k\) in \(S\) the author shows that ...
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Ramanujan’s convolution sum twisted by Dirichlet characters
International Journal of Number Theory, 2019 We find formulas for convolutions of sum of divisor functions twisted by the Dirichlet character [Formula: see text], which are analogous to Ramanujan’s formula for convolution of usual sum of divisor functions. We use the theory of modular forms to prove our results.
Aygin, Zafer Selcuk, Hong, Nankun
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Stroke is a leading cause of long‐term disability in adults, with upper limb hemiparesis being a common impairment. Traditional training is mostly aimed at paralyzed limbs, but the effect of bilateral training is still unclear.
Fangfang Qian +7 more
wiley +1 more source
Shifted convolution sums and Burgess type subconvexity over number fields [PDF]
, 2022 Péter Maga
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Transition mean values of shifted convolution sums
Journal of Number Theory, 2013 Let f be a classical holomorphic cusp form for SL_2(Z) of weight k which is a normalized eigenfunction for the Hecke algebra, and let (n) be its eigenvalues. In this paper we study "shifted convolution sums" of the eigenvalues (n) after averaging over many shifts h and obtain asymptotic estimates. The result is somewhat surprising: one encounters a
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Shifted convolution sums involving theta series [PDF]
The Ramanujan Journal, 2017 Let $f$ be a cuspidal newform (holomorphic or Maass) of arbitrary level and nebentypus and denote by $ _f(n)$ its $n$-th Hecke eigenvalue. Let $$ r(n)=\#\left\{(n_1,n_2)\in \mathbb{Z}^2:n_1^2+n_2^2=n\right\}. $$ In this paper, we study the shifted convolution sum $$ \mathcal{S}_h(X)=\sum_{n\leq X} _f(n+h)r(n), \qquad 1\leq h\leq X, $$ and establish ...
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ICU‐EEG Pattern Detection by a Convolutional Neural Network
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Patients in the intensive care unit (ICU) often require continuous EEG (cEEG) monitoring due to the high risk of seizures and rhythmic and periodic patterns (RPPs). However, interpreting cEEG in real time is resource‐intensive and heavily relies on specialized expertise, which is not always available.
Giulio Degano +5 more
wiley +1 more source