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New irrationality measures for  -logarithms |
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| Authors: | Tapani Matala-aho Keijo Vä ä nä nen Wadim Zudilin. |
| Affiliation: | Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, 90014 Oulu, Finland ; Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, 90014 Oulu, Finland ; Department of Mechanics and Mathematics, Moscow Lomonosov State University, Vorobiovy Gory, GSP-2, 119992 Moscow, Russia |
| Abstract: | The three main methods used in diophantine analysis of  -series are combined to obtain new upper bounds for irrationality measures of the values of the  -logarithm function   and  . |
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