Anup B. Dixit, Veekesh Kumar, Siddhi S. Pathak
Published 2022-11-06Version 1
In this paper, we derive results concerning the linear independence of values of the $q$-exponential and certain cognate functions at algebraic arguments when the associated modulus $q$ is a Pisot-Vijayraghavan number. As a consequence, we deduce the irrationality of special values of these functions, some of which were known earlier using alternate methods.
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