Kurşungöz, Kağan (2017) Radial limits of partial theta and similar series. Ramanujan Journal, 43 (1). pp. 95112. ISSN 13824090 (Print) 15729303 (Online)
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Official URL: http://dx.doi.org/10.1007/s1113901697744
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 qintegral and are elementary.
Item Type:  Article 

Uncontrolled Keywords:  Radial limits; Partial theta series; qintegral 
Subjects:  Q Science > QA Mathematics > QA150272.5 Algebra 
Divisions:  Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences 
Depositing User:  Kağan Kurşungöz 
Date Deposited:  09 May 2017 14:49 
Last Modified:  09 May 2017 14:49 
URI:  https://research.sabanciuniv.edu/id/eprint/31315 
Available Versions of this Item

Radial limits of partial theta and similar series. (deposited 22 Dec 2015 17:56)

Radial limits of partial theta and similar series. (deposited 06 Nov 2016 15:37)
 Radial limits of partial theta and similar series. (deposited 09 May 2017 14:49) [Currently Displayed]

Radial limits of partial theta and similar series. (deposited 06 Nov 2016 15:37)