| Автор | Cohen, Henri |
| Автор | Lewin, Leonard |
| Автор | Zagier, Don |
| Дата выпуска | 1992 |
| dc.description | Using the LLL algorithm and the second author's “ladder” method, we fi nd (conjec tural) Z-linear relations among polylogarithms of order up to 16 evaluated at powers of a single algebraic number. These relations are in accordance with theoretical predictions and are valid to an accuracy of 300 decimal digits, but we cannot prove them rigorously. |
| Формат | application.pdf |
| Издатель | Taylor & Francis Group |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Название | A Sixteenth-order Polylogarithm Ladder |
| Тип | research-article |
| DOI | 10.1080/10586458.1992.10504243 |
| Electronic ISSN | 1944-950X |
| Print ISSN | 1058-6458 |
| Журнал | Experimental Mathematics |
| Том | 1 |
| Первая страница | 25 |
| Последняя страница | 34 |
| Аффилиация | Cohen, Henri; Centre de Recherche en Mathérnatiques de Bordeaux, Université Bordeaux I |
| Аффилиация | Lewin, Leonard; Department of Electrical and Computer Engineering, University of Colorado at Boulder |
| Аффилиация | Zagier, Don; Max-Planck-Institut fiir Mathematik, Gottfried-Claren-Str |
| Выпуск | 1 |
| Библиографическая ссылка | Abouzahra, M. and Lewin, L. 1985. “The poly logarithm in algebraic number fields”. J. Number Th., 21: 214–244. [Abouzahra and Lewin 1985] |
| Библиографическая ссылка | Abouzahra, M., Lewin, L. and Xiao, H. 1987. “Polylogarithms in the field of omega (a root of a given cubic): functional equations and ladders”. Aeq. Math., 33: 23–45. [Abouzahra et al. 1987] |
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| Библиографическая ссылка | Lewin, L. 1991. The Structural Properties of Polylogarithms Providence, PI: American Mathematical Society.. [Lewin 1991], Amer. Math. Soc. Monographs 37 |
| Библиографическая ссылка | Zagier, D. 1991. “Polylogarithms, Dedekind zeta functions, and the algebraic AT-theory of fields”.”. In Arithmetic Algebraic Geometry Edited by: Geer, G. v. d., Oort, F. and Steenbrink, J. 391–430. Boston: Birkhauser.. [Zagier 1991a], Prog. in Math. 89 |
| Библиографическая ссылка | Zagier, D. “Special values and functional values of polylogarithms” [Zagier 1991b], Appendix in [Lewin 1991] |
