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https://scholarbank.nus.edu.sg/handle/10635/104251
| Title: | The apéry numbers, the almkvist-Zudilin numbers and new series for 1/π | Authors: | Chan, H.H. Verrill, H. |
Issue Date: | May-2009 | Citation: | Chan, H.H., Verrill, H. (2009-05). The apéry numbers, the almkvist-Zudilin numbers and new series for 1/π. Mathematical Research Letters 16 (3) : 405-420. ScholarBank@NUS Repository. | Abstract: | This paper concerns series for 1/π, such as Sato's series (1.4), and the series of H.H. Chan, S.H. Chan and Z.-G. Liu (1.8) below. The examples of Sato, Chan, Chan and Liu are related to two index 2 subgroups of 0(6) +. These examples motivate us to look at a third subgroup of 0(6)+. We give a new method of constructing such series using the theory of modular forms and conclude our work with several new examples.© International Press 2009. | Source Title: | Mathematical Research Letters | URI: | http://scholarbank.nus.edu.sg/handle/10635/104251 | ISSN: | 10732780 |
| Appears in Collections: | Staff Publications |
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