Results 41 to 50 of about 4,592,487 (264)
COMMON SOURCE OF NUMEROUS THETA FUNCTION IDENTITIES [PDF]
Glasgow Mathematical Journal, 2007 Abstract.Motivated by the recent work due to Warnaar (2005), two new and elementary proofs are presented for a very useful q-difference equation on eight shifted factorials of infinite order. As the common source of theta function identities, this q-difference equation is systematically explored to review old and establish new identities on Ramanujan's
openaire +2 more sources
Theta Function Identities of Level 16 and Their Applications to Colored Partitions
MathematicsTheta function identities play an important role in the theory of modular forms and partitions, with Ramanujan’s q-series providing a fundamental analytical framework.
Fatemah Mofarreh +2 more
doaj +1 more source
FEBS Open Bio, EarlyView.Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley +1 more source
A three-term theta function identity and its applications [PDF]
, 2005 In this paper, we establish a three-term theta function identity using the complex variable theory of elliptic functions. This simple identity in form turns out to be quite useful and it is a common origin of many important theta function identities ...
Liu, Zhi-Guo
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FEBS Open Bio, EarlyView.The dFoCC pipeline starts with observed DED and resting‐state coordinates, which are then used to generate a library of triggered states. Correlation analysis of the calculated DED features of each candidate vs observed DED permits quantitative evaluation of candidate structural quality.
Meng Iao Fong +3 more
wiley +1 more source
Color Partition Identities Arising from Ramanujan's Theta-Functions [PDF]
, 2016 We establish several partition identities with distinct colors that arise from Ramanujan’s theta-function identities and formulas for multipliers in the theory of modular equations.
Hemanthkumar, B. +2 more
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New Mock Theta Function Identities via Fractional q-Calculus and Bilateral 2ψ2 Series
Fractal and FractionalMock theta functions, introduced by Ramanujan in his last letter to Hardy, play a significant role in q-series theory and have natural connections to fractional q-calculus. In this paper, we study bilateral hypergeometric series of the form ψ22= ∑n=−∞∞(a,
Qiuxia Hu, Bilal Khan
doaj +1 more source
Molecular characterization of covRS mutations in M1UK Streptococcus pyogenes
FEBS Open Bio, EarlyView.Group A Streptococcus (GAS) acquires covRS mutations driving a hypervirulent bacterial state, frequently associated with invasive disease‐like necrotizing fasciitis. We demonstrate that the newly emerged M1UK GAS lineage can also acquire these mutations.
Jarrad Pritchard +12 more
wiley +1 more source
Optimizing photoexcitation conditions for time‐resolved X‐ray solution scattering experiments
FEBS Open Bio, EarlyView.Time‐resolved X‐ray solution scattering (TR‐XSS) is a powerful technique to visualize how proteins change their structure in real time after light activation. Selecting the right laser photoexcitation conditions—fluence, excitation geometry, and sample refresh rate—is critical to maximize the experimental signal while avoiding unwanted side effects ...
Matteo Levantino
wiley +1 more source
A new class of theta function identities in two variables [PDF]
, 2014 Copyright © 2010 Nova Science PublishersWe describe a new class of identities, which hold for certain general theta series, in two completely independent variables.
Toh, Pee Choon +5 more
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