Radial limits of partial theta and similar series

Kurşungöz, Kağan (2017) Radial limits of partial theta and similar series. Ramanujan Journal, 43 (1). pp. 95-112. ISSN 1382-4090 (Print) 1572-9303 (Online)

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Official URL: http://dx.doi.org/10.1007/s11139-016-9774-4

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
Uncontrolled Keywords:	Radial limits; Partial theta series; q-integral
Subjects:	Q Science > QA Mathematics > QA150-272.5 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

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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]

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