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A note on the arithmetic nature of some infinite series

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Weatherby [14] studied some infinite series and proved that they are either zero or transcendental. Here, we extend his results. Moreover, we find a linear independence criteria of these series… Click to show full abstract

Weatherby [14] studied some infinite series and proved that they are either zero or transcendental. Here, we extend his results. Moreover, we find a linear independence criteria of these series under some mild conditions.

Keywords: infinite series; arithmetic nature; note arithmetic; nature infinite; series

Journal Title: Acta Mathematica Hungarica
Year Published: 2019

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