Results 21 to 30 of about 10,838,318 (324)
A theory of theta functions to the quintic base [PDF]
, 2013 Properties of four quintic theta functions are developed in parallel with those of the classical Jacobi null theta functions. The quintic theta functions are shown to satisfy analogues of Jacobi's quartic theta function identity and counterparts of ...
Huber, Tim
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The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices
Transactions of the American Mathematical Society, 2017 Starting with a discrete 3 × 3 3\times 3 matrix spectral problem, the hierarchy of Bogoyavlensky lattices which are pure differential-difference equations are derived with the aid of the Lenard recursion equations and the stationary ...
Jiao Wei, X. Geng, Xin Zeng
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Momentum Dependence of the Single-Particle Self-Energy and Fluctuation Spectrum of Slightly Underdoped Bi_2 Sr_2 CaCu_2 O_{8+\delta} from High Resolution Laser ARPES [PDF]
, 2010 We deduce the normal state angle-resolved single-particle self-energy $\Sigma(\theta, \omega)$ and the Eliashberg function (i.e., the product of the fluctuation spectrum and its coupling to fermions) $\alpha^2 F(\theta,\omega)$ for the high temperature ...
Bok, Jin Mo +5 more
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Radial Limits of the Universal Mock Theta Function $g_3$ [PDF]
, 2015 Referring to Ramanujan's original definition of a mock theta function, Rhoades asked for explicit formulas for radial limits of the universal mock theta functions $g_2$ and $g_3$.
Min-Joo Jang, Steffen Lobrich
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Developmental Changes in Hippocampal CA1 Single Neuron Firing and Theta Activity during Associative Learning. [PDF]
PLoS ONE, 2016 Hippocampal development is thought to play a crucial role in the emergence of many forms of learning and memory, but ontogenetic changes in hippocampal activity during learning have not been examined thoroughly.
Jangjin Kim +3 more
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Arithmetic properties for Andrews’ (48,6)- and (48,18)-singular overpartitions
Open Mathematics, 2019 Singular overpartition functions were defined by Andrews. Let Ck,i(n) denote the number of (k, i)-singular overpartitions of n, which counts the number of overpartitions of n in which no part is divisible by k and only parts ±i (mod k) may be overlined ...
Liu Eric H., Du Wenjing
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Frontiers in Neuroscience, 2022 Previous studies have demonstrated that open-loop transcranial ultrasound stimulation (TUS) can modulate theta and gamma rhythms of the local field potentials (LFPs) in the mouse hippocampus; however, the manner in which closed-loop TUS with different ...
Zhenyu Xie +7 more
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Ural Mathematical Journal, 2020 In this paper, we consider the anisotropic Lorentz space \(L_{\bar{p}, \bar\theta}^{*}(\mathbb{I}^{m})\) of periodic functions of \(m\) variables. The Besov space \(B_{\bar{p}, \bar\theta}^{(0, \alpha, \tau)}\) of functions with logarithmic smoothness is
Gabdolla Akishev
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Entropy solutions to parabolic equations in Musielak framework involving non coercivity term in divergence form [PDF]
Mathematica Bohemica, 2018 We prove the existence of solutions to nonlinear parabolic problems of the following type: \begin{cases} \dfrac{\partial b(u)}{\partial t}+ A(u) = f + {\rm div}(\Theta(x; t; u))& \text{in} Q, u(x; t) = 0 & \text{on} \partial\Omega\times[0; T], b(u)
Mohamed Saad Bouh Elemine Vall +3 more
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A Mock Theta Function of Second Order
International Journal of Mathematics and Mathematical Sciences, 2009 We consider the second-order mock theta function 𝒟5 (𝑞), which Hikami came across in his work on mathematical physics and quantum invariant of three manifold.
Bhaskar Srivastava
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