An elementary proof of the irrationality of Tschakaloff series
| dc.creator | Zudilin, Wadim | |
| dc.date | 2005-06-05 | |
| dc.date.accessioned | 2026-07-07T12:45:57Z | |
| dc.date.available | 2026-07-07T12:45:57Z | |
| dc.description | We present a new proof of the irrationality of values of the series $T_q(z)=\sum_{n=0}^\infty z^nq^{-n(n-1)/2}$ in both qualitative and quantitative forms. The proof is based on a hypergeometric construction of rational approximations to $T_q(z)$. | |
| dc.description | 5 pages, AMSTeX | |
| dc.identifier | https://arxiv.org/abs/math/0506086 | |
| dc.identifier | http://arxiv.org/abs/math/0506086 | |
| dc.identifier | Fundam. Prikl. Mat. 11:6 (2005), 59--64; English transl., J. Math. Sci. 146 (2007), no. 2, 5669--5673 | |
| dc.identifier | doi:10.1007/s10958-007-0382-0 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221219 | |
| dc.subject | Number Theory | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 11J72, 11J82 (Primary), 33D15 (Secondary) | |
| dc.title | An elementary proof of the irrationality of Tschakaloff series | |
| dc.type | text |