Results 1 to 10 of about 1,411 (112)

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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Computing theta functions with Julia [PDF]

Journal of Software for Algebra and Geometry, 2021
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. Our package is optimized for multiple evaluations of theta functions for the same Riemann matrix, in small dimensions.
Agostini, D., Chua, L.
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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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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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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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Massive theta lifts

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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Some results concerning localization property of generalized Herz, Herz-type Besov spaces and Herz-type Triebel-Lizorkin spaces

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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New congruences modulo powers of 2 for k-regular overpartition pairs [PDF]

Notes on Number Theory and Discrete Mathematics
Let ̄Bₖ(n) denote the number of k regular overpartition pairs where a k-regular overpartition pair of n is a pair of k-regular overpartitions (a,b) in which the sum of all the parts is n.
Riyajur Rahman, Nipen Saikia
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On inversely $\theta$-semi-open and inversely $\theta$-semi-closed functions

Математичні Студії, 2020
In this paper, we introduce the concepts of inversely $\theta$-semi-open and inversely $\theta$-semi-closed functions and obtain their characterizations if it is possible in terms of $\theta$-closure and $\theta$-interior by using sets determined by the ...
J. Sanabria, E. Rosas, L. Vásquez
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