Results 11 to 20 of about 10,632,527 (346)
Maximal theta functions universal optimality of the hexagonal lattice for Madelung-like lattice energies [PDF]
Journal d'Analyse Mathematique, 2020 We present two families of lattice theta functions accompanying the family of lattice theta functions studied by Montgomery in [H. Montgomery, Minimal theta functions . Glasgow Mathematical Journal, 30 (1988), 75–85].
Laurent B'etermin, Markus Faulhuber
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Ratio Mathematica, 2023 In this paper, we introduce \breve{\theta}-\mathcal{I}-closed sets, \breve{\theta}-\mathcal{I}-closed sets, \breve{\theta}-\mathcal{I}-continuous functions and \breve{\theta}-\mathcal{I}-continuous functions and investigate their properties and its ...
M Vijayasankari, G Ramkumar
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New double-sum expansions for certain Mock theta functions
AIMS Mathematics, 2022 The study of expansions of certain mock theta functions in special functions theory has a long and quite significant history. Motivated by recent correlations between q-series and mock theta functions, we establish a new q-series transformation formula ...
Qiuxia Hu +3 more
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Frontiers in Systems Neuroscience, 2021 This article describes a neural model of the anatomy, neurophysiology, and functions of intrinsic and extrinsic theta rhythms in the brains of multiple species.
Stephen Grossberg
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Modular forms of half-integral weight on Γ0(4) with few nonvanishing coefficients modulo ℓ
Open Mathematics, 2022 Let kk be a nonnegative integer. Let KK be a number field and OK{{\mathcal{O}}}_{K} be the ring of integers of KK. Let ℓ≥5\ell \ge 5 be a prime and vv be a prime ideal of OK{{\mathcal{O}}}_{K} over ℓ\ell . Let ff be a modular form of weight k+12k+\frac{1}
Choi Dohoon, Lee Youngmin
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A framework for modular properties of false theta functions [PDF]
Research in the Mathematical Sciences, 2019 False theta functions closely resemble ordinary theta functions; however, they do not have the modular transformation properties that theta functions have.
K. Bringmann, Caner Nazaroglu
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Computing Theta Functions with Julia [PDF]
The Journal of Software for Algebra and Geometry, 2019 We present a new package Theta.jl for computing with the Riemann theta function. It is implemented in Julia and offers accurate numerical evaluation of theta functions with characteristics and their derivatives of arbitrary order.
Daniele Agostini, Lynn Chua
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Theta vectors and quantum theta functions [PDF]
Journal of Physics A: Mathematical and General, 2005 LaTeX 21 pages, give more explicit explanations for notions given in the ...
Lee, Chang-Yeong, Kim, Hoil
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Elliptic Solutions of Dynamical Lucas Sequences
Entropy, 2021 We study two types of dynamical extensions of Lucas sequences and give elliptic solutions for them. The first type concerns a level-dependent (or discrete time-dependent) version involving commuting variables. We show that a nice solution for this system
Michael J. Schlosser, Meesue Yoo
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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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