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On multiple zeros of a partial theta function
, 2016We consider the partial theta function θ(q, x) := ∑j=0∞qj(j+1)/2xj, where x ∈ ℂ is a variable and q ∈ ℂ, 0 < |q| < 1, is a parameter. We show that, for any fixed q, if ζ is a multiple zero of the function θ(q, · ), then |ζ| ≤ 811.
V. Kostov
semanticscholar +1 more source
On the spectrum of a partial theta function
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2014The bivariate series defines a partial theta function. For fixed q, θ(q, ·) is an entire function. We show that for ∣q∣ ≤ 0.108 the function θ(q, ·) has no multiple zeros.
V. Kostov
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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
On Somos’s theta-function identities of level 14
, 2017K. R. Vasuki, R. G. Veeresha
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Partition identities arising from Somos’s theta function identities
, 2017B. R. S. Kumar, R. G. Veeresha
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Construction and modular implementation of the THETA cycle for synthetic CO2 fixation
Nature Catalysis, 2023Shanshan Luo, Christoph Diehl, Hai He
exaly
Asymptotics of the spectrum of partial theta function
, 2014V. Kostov
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The Approximate Functional Formula for the Theta Function
, 1926L. Mordell
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Coupling of hippocampal theta and ripples with pontogeniculooccipital waves
Nature, 2020Juan F Ramirez-Villegas +2 more
exaly

