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On the spectrum of a partial theta function

Published online by Cambridge University Press:  03 October 2014

Vladimir Petrov Kostov
Vladimir Petrov Kostov*
Affiliation:
Laboratoire de Mathématiques, Université de Nice, Parc Valrose, 06108 Nice, Cedex 2, France, (kostov@math.unice.fr)
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Abstract

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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 5 , October 2014 , pp. 925 - 933
Copyright
Copyright © Royal Society of Edinburgh 2014 

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