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On multiple zeros of a partial theta function

, 2016
We 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, 2014
The 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
semanticscholar   +1 more source

Mechanism, cellular functions and cancer roles of polymerase-theta-mediated DNA end joining

Nature Reviews Molecular Cell Biology, 2021
Dale A Ramsden   +2 more
exaly  

Construction and modular implementation of the THETA cycle for synthetic CO2 fixation

Nature Catalysis, 2023
Shanshan Luo, Christoph Diehl, Hai He
exaly  

Coupling of hippocampal theta and ripples with pontogeniculooccipital waves

Nature, 2020
Juan F Ramirez-Villegas   +2 more
exaly  

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