Results 301 to 310 of about 10,632,527 (346)
Some of the next articles are maybe not open access.
2016
Starting with the classical theta function \(\theta(x,q)= \sum_{n\in \mathbb{Z}} x^n q^{n^2}\), \(q= e^{\pi i\tau}\), the author discusses, in turn, a number of well-known modular forms and modular functions. These include: Dedekind's \(\eta (\tau)\) (weight \({1\over 2}\) on \(\Gamma (1)\)), \(\theta_2 (\tau)\) (weight \({1\over 2}\) on \(\Gamma_0 (2)\
openaire +2 more sources
Starting with the classical theta function \(\theta(x,q)= \sum_{n\in \mathbb{Z}} x^n q^{n^2}\), \(q= e^{\pi i\tau}\), the author discusses, in turn, a number of well-known modular forms and modular functions. These include: Dedekind's \(\eta (\tau)\) (weight \({1\over 2}\) on \(\Gamma (1)\)), \(\theta_2 (\tau)\) (weight \({1\over 2}\) on \(\Gamma_0 (2)\
openaire +2 more sources
Conic theta functions and their relations to theta functions
2013It is natural to ask when the spherical volume defined by the intersection of a sphere at the apex of an integer polyhedral cone is rational. We use number theoretic methods to study a new class of polyhedral functions called conic theta functions, which are closely related to classical theta functions.
Amanda Folsom +2 more
openaire +1 more source
Composition and functions of bacterial membrane vesicles
Nature Reviews Microbiology, 2023Masanori Toyofuku +2 more
exaly
Integer Partitions with Even Parts Below Odd Parts and the Mock Theta Functions
Annals of Combinatorics, 2018G. Andrews
semanticscholar +1 more source
A relation between Riemann theta functions and Jacobi theta functions.
2001The reviewer feels that it is best to quote from the paper literally to give an impression: ``Corollary 2: The relation between \(R_3\) and \(thata_3\) is \(R_3/theta3 =1\). Proof is to celar. Corollary 3: Proof is clear. '' From a mathematical viewpoint, the reviewer has problems e.g.
IŞIK, AHMET, KONYALIOĞLU, Alper Cihan
openaire +2 more sources
Gene regulation by long non-coding RNAs and its biological functions
Nature Reviews Molecular Cell Biology, 2020Luisa Statello +2 more
exaly
The expanding regulatory mechanisms and cellular functions of circular RNAs
Nature Reviews Molecular Cell Biology, 2020Ling-Ling Chen
exaly