Results 61 to 70 of about 14,415 (268)
A Mixed Joint Universality Theorem for Zeta-Functions. II
Mathematical Modelling and Analysis, 2014 In the paper, a joint universality theorem on the approximation of analytic functions for zeta-function of a normalized Hecke eigen cusp form and a collection of periodic Hurwitz zeta-functions with algebraically independent parameters is obtained.
Vaida Pocevičienė +1 more
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Journal für die reine und angewandte Mathematik (Crelles Journal), 1988 Let \(\Gamma_ q\) be the so-called Hecke subgroup of \(SL_ 2({\mathbb{R}})\) generated by \(\begin{pmatrix} 0&-1 \\ 1&0 \end{pmatrix}\) and \(\begin{pmatrix} 1&2 \cos(\pi/q) \\ 0&1 \end{pmatrix}\) where \(q\geq 3\) is an integer. The author reports on his calculations of the point spectrum of the Laplace-Beltrami operator \(\Delta\) acting on suitable \
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On the coefficients of cusp forms [PDF]
Mathematical Research Letters, 1997 Fix a cuspidal representation \(\pi\) of \(GL(2)\) over (the adele ring of) a number field \(F\), and write \(a_v\) for the sum of the Hecke eigenvalues of \(\pi\) at a place \(v\) of \(F\) where \(\pi\) is unramified. Ramanujan's conjecture for \(\pi\) is equivalent to \(|a_v|\leq 2\) for all \(v\).
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Guiding AlphaFold to predict how Munc13‐1 opens Syntaxin‐1
FEBS Open Bio, EarlyView.The syntaxin‐1 Habc‐domain (orange), linker (pink) and SNARE motif (yellow) form a closed conformation that binds to Munc18‐1 (violet) and is opened by the Munc13‐1 MUN domain (cyan) to form the SNARE complex that triggers neurotransmitter release.
Madhurima Chattopadhyay +2 more
wiley +1 more source
RNA Sequencing Resolves Cryptic Pathogenic Variants in Mitochondrial Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Mitochondrial diseases are the most common inherited metabolic disorders, characterized by pronounced clinical and genetic heterogeneity that complicates molecular diagnosis. Although DNA‐based sequencing approaches have become standard in genetic testing, up to half of patients remain without a definitive diagnosis.
Zhimei Liu +21 more
wiley +1 more source
Comparative Effectiveness and Safety of Inebilizumab Versus Rituximab in AQP4‐IgG‐Positive NMOSD
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Rituximab (anti‐CD20, RTX) and inebilizumab (anti‐CD19, INE) represent B‐cell‐depleting therapies used for aquaporin‐4 antibody‐positive (AQP4‐IgG+) neuromyelitis optica spectrum disorder (NMOSD); however, direct comparative evidence remains limited.
Jie Lin +11 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To characterize the demographic, clinical, and laboratory features of the Chinese patients of genetic Creutzfeldt‐Jakob disease with T188K variant (T188K‐gCJD), the most common subtype of genetic prion diseases (gPrDs) in China. Methods In this nationwide retrospective study, data from 98 genetically confirmed T188K‐gCJD patients ...
Chun‐Jie Li +11 more
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Parameter-space topology of models for cell polarity
New Journal of Physics, 2014 Reaction–diffusion systems have been widely successful in the theoretical description of biological patterning phenomena, giving rise to numerous models based on differing mechanisms, mathematical implementations and parameter choices.
Philipp Khuc Trong +4 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Introduction/Objective Acute intracranial stenting during endovascular thrombectomy (EVT) for ischemic stroke requires intraprocedural antiplatelet therapy (APT) to maintain patency. However, the hemorrhagic risk of combining APT with intravenous thrombolysis (IVT) remains uncertain.
Aaron Rodriguez‐Calienes +75 more
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Four-loop photon quark form factor and cusp anomalous dimension in the large-N c limit of QCD
Journal of High Energy Physics, 2017 We compute the four-loop QCD corrections to the massless quark-anti-quark-photon form factor F q in the large-N c limit. From the pole part we extract analytic expressions for the corresponding cusp and collinear anomalous dimensions.
Johannes Henn +4 more
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