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Theta Vectors and Quantum Theta Functions [PDF]
Journal of Physics A: Mathematical and General, 2004 In this paper, we clarify the relation between Manin's quantum theta function and Schwarz's theta vector in comparison with the kq representation, which is equivalent to the classical theta function, and the corresponding coordinate space wavefunction ...
Bacry H +17 more
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The effects of iTBS to cerebellar vermis on balance function in frail older people: A protocol for a randomized controlled trial. [PDF]
PLoS ONEBackgroundWith the gradual deepening of the aging of the population, the closely related problem of frailty in older people is becoming increasingly prominent.
Zuoyan Liu +5 more
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On Some Expansion Formulas for Products of Jacobi’s Theta Functions
Mathematics, 2023 In this paper, we establish several expansion formulas for products of the Jacobi theta functions. As applications, we derive some expressions of the powers of (q;q)∞ by using these expansion formulas.
Hong-Cun Zhai, Jian Cao, Sama Arjika
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A domain free of the zeros of the partial theta function
Математичні Студії, 2023 The partial theta function is the sum of the series \medskip\centerline{$\displaystyle\theta (q,x):=\sum\nolimits _{j=0}^{\infty}q^{j(j+1)/2}x^j$,} \medskip\noi where $q$ is a real or complex parameter ($|q|
V. Kostov
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Inverse Numerical Range and Determinantal Quartic Curves
Mathematics, 2020 A hyperbolic ternary form, according to the Helton–Vinnikov theorem, admits a determinantal representation of a linear symmetric matrix pencil. A kernel vector function of the linear symmetric matrix pencil is a solution to the inverse numerical range ...
Mao-Ting Chien, Hiroshi Nakazato
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Ramanujan’s mock theta functions [PDF]
Proceedings of the National Academy of Sciences, 2013 In his famous deathbed letter, Ramanujan introduced the notion of a mock theta function , and he offered some alleged examples. Recent work by Zwegers [Zwegers S (2001) Contemp Math 291:268–277 and Zwegers S (2002) PhD thesis (Univ of Utrecht, Utrecht, The Netherlands)] has elucidated the ...
Griffin, Michael, Ono, Ken, Rolen, Larry
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Journal of High Energy Physics, 2023 We use Poincaré series for massive Maass-Jacobi forms to define a “massive theta lift”, and apply it to the examples of the constant function and the modular invariant j-function, with the Siegel-Narain theta function as integration kernel.
Marcus Berg, Daniel Persson
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The explicit form of the switching surface in admissible synthesis problem
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022 In this article we consider the problem related to positional synthesis and controllability function method and more precisely to admissible maximum principle.
V. I. Korobov, O. S. Vozniak
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Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, based on generalized Herz-type function spaces $\dot{K}_{q}^{p}(\theta)$ were introduced by Y. Komori and K. Matsuoka in 2009, we define Herz-type Besov spaces $\dot{K}_{q}^{p}B_{\beta }^{s}(\theta)$ and Herz-type Triebel-Lizorkin spaces $\
A. Djeriou, R. Heraiz
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The reverse Holder inequality for an elementary function
Математичні Студії, 2021 For a positive function $f$ on the interval $[0,1]$, the power mean of order $p\in\mathbb R$ is defined by \smallskip\centerline{$\displaystyle \|\, f\,\|_p=\left(\int_0^1 f^p(x)\,dx\right)^{1/p}\quad(p\ne0), \qquad \|\, f\,\|_0=\exp\left(\int_0^1\ln ...
A.O. Korenovskii
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