Results 241 to 250 of about 263,026 (280)
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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)\
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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)\
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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
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Mechanism, cellular functions and cancer roles of polymerase-theta-mediated DNA end joining
Nature Reviews Molecular Cell Biology, 2021Dale A Ramsden +2 more
exaly
Construction and modular implementation of the THETA cycle for synthetic CO2 fixation
Nature Catalysis, 2023Shanshan Luo, Christoph Diehl, Hai He
exaly
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
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EEG alpha and theta oscillations reflect cognitive and memory performance: a review and analysis
Brain Research Reviews, 1999Wolfgang Klimesch
exaly