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Radial limits of partial theta and similar series

Kurşungöz, Kağan (2016) Radial limits of partial theta and similar series. (Accepted/In Press)

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Abstract

We study unilateral series in a single variable q where its exponent is an unbounded increasing function, and the coefficients are periodic. Such series converge inside the unit disk. Quadratic polynomials in the exponent correspond to partial theta series. We compute limits of those series as the variable tends radially to a root of unity. The proofs use ideas from the q-integral and are elementary.

Item Type:Article
Subjects:Q Science > QA Mathematics > QA150-272.5 Algebra
ID Code:30582
Deposited By:Kağan Kurşungöz
Deposited On:06 Nov 2016 15:37
Last Modified:09 May 2017 14:49

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