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On Diophantine Approximations of Mock Theta Functions of Third Order |
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| Authors: | Matala-Aho Tapani Väänäanen Keijo |
| Institution: | (1) Department of Mathematical Sciences, University of Oulu, PO Box 3000, 90401, Finland;(2) Department of Mathematical Sciences, University of Oulu, PO Box 3000, 90401, Finland |
| Abstract: | The paper gives bounds for the approximation of the values of Ramanujan's Mock Theta functions of third order and more generally of some q-hypergeometric functions by the elements of an algebraic number field. Simultaneous approximations for the values of q-exponential function are also obtained. All the results are given both in the archimedean and p-adic case. |
| Keywords: | irrationality measure q-hypergeometric function Padé -approximation |
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