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


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
ID Code:31315
Deposited By:Kağan Kurşungöz
Deposited On:09 May 2017 14:49
Last Modified:09 May 2017 14:49

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