Results 1 to 10 of about 10,656,902 (249)

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
doaj   +3 more sources

A Family of Theta-Function Identities Based upon Combinatorial Partition Identities Related to Jacobi’s Triple-Product Identity

Mathematics, 2020
The authors establish a set of six new theta-function identities involving multivariable R-functions which are based upon a number of q-product identities and Jacobi’s celebrated triple-product identity.
Hari Mohan Srivastava, Rekha Srivastava, Mahendra Pal Chaudhary, Salah Uddin   +3 more
doaj   +2 more sources

The effects of iTBS to cerebellar vermis on balance function in frail older people: A protocol for a randomized controlled trial. [PDF]

PLoS ONE
BackgroundWith the gradual deepening of the aging of the population, the closely related problem of frailty in older people is becoming increasingly prominent.
Zuoyan Liu, Neng Huang, Kehong Zhao, Na Long, Ruibao Fu, Xiuying Hu   +5 more
doaj   +2 more sources

On Ramanujan's definition of mock theta function. [PDF]

Proc Natl Acad Sci U S A, 2013
Rhoades RC.
europepmc   +2 more sources

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
doaj   +1 more source

Automatic Proof of Theta-Function Identities [PDF]

Texts & Monographs in Symbolic Computation, 2018
This is a tutorial for using two new MAPLE packages, thetaids and ramarobinsids. The thetaids package is designed for proving generalized eta-product identities using the valence formula for modular functions. We show how this package can be used to find
Jie Frye, F. Garvan
semanticscholar   +1 more source

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
doaj   +1 more source

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
openaire   +2 more sources

A domain containing all zeros of the partial theta function [PDF]

Publicationes mathematicae (Debrecen), 2017
We consider the partial theta function, i.e. the sum of the bivariate series $\theta (q,z):=\sum_{j=0}^{\infty}q^{j(j+1)/2}z^j$ for $q\in (0,1)$, $z\in \mathbb{C}$.
V. Kostov
semanticscholar   +1 more source

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
doaj   +1 more source