Abstract
We prove a series of new results for the irrationality measure of some values of . Some time ago we applied symmetric complex integrals to approximate values of the form , where is a natural number. This method gave new estimates for the numbers and only. To deal with some other values of we modify the main construction. In the present paper, we consider a new integral which is based on an idea of Q. Wu and does not have a property of symmetry of the integrand. Integral construction of such a type allows us to improve estimates for the irrationality measure of some values of for some natural , .
Citation
Vladislav K. Salikhov. Mariya G. Bashmakova. "On rational approximations for some values of for natural and , ." Mosc. J. Comb. Number Theory 11 (2) 181 - 188, 2022. https://doi.org/10.2140/moscow.2022.11.181
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