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.
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Matala-Aho, T., Väänäanen, K. On Diophantine Approximations of Mock Theta Functions of Third Order. The Ramanujan Journal 4, 13–28 (2000). https://doi.org/10.1023/A:1009817604368
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DOI: https://doi.org/10.1023/A:1009817604368