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Cognitive trajectories in Parkinson's disease patients, a review on the impact of subthalamic deep brain stimulation (STN-DBS) and emerging adaptive strategies. [PDF]
Almeida V +7 more
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Neural and behavioral signatures of error monitoring are differentially modulated by social hierarchy and trial type. [PDF]
Fazel S +3 more
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Feasibility of MEG in assessing task-related oscillatory markers and evaluating cognitive changes in recently symptomatic carotid endarterectomy patients: A pilot study. [PDF]
Kukkonen T +6 more
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GluK1 kainate receptors in parvalbumin interneurons modulate cortico-hippocampal network dynamics during social behavior. [PDF]
Rhee JK +8 more
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A study on ratio of the Θ–Theta functions
The authors show that the four fundamental theta functions satisfy a nonlinear differential equation, involving also the quotient of the first and third theta functions. They use some results from the monograph of \textit{D. Mumford} [Tata lectures on theta.
M. Nuri Kültür, Abdullah Kaplan
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Identities involving mock theta functions and theta functions
Proceedings of the American Mathematical Society, 2023In this paper, we first present new representations for several mock theta functions. In view of the sign flips on these identities, some interesting results involving theta functions are established by new Bailey pairs and Watson’s 8 ϕ 7 _8\phi _7 transformation ...
Song, Hanfei, Wang, Chun
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Hyperquasipolynomials for the Theta-Function
Functional Analysis and Its Applications, 2018An entire function \(f\) is hyperquasipolynomial w.r.t. a function \(g: \mathbb{C}\to \mathbb{C}\) if \(f\) satisfies \[ f(x+y)g(x-y)=\sum_{j=1}^r \alpha_j(x) \beta_j(y) \] for some \(r\in \mathbb{N}\) and functions \(\alpha_j, \beta_j: \mathbb{C} \to \mathbb{C}\) [\textit{V. A. Bykovskii}, Funct. Anal. Appl. 50, No.
Illarionov, A. A., Romanov, M. A.
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