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June 1, 2024Hokkaido Mathematical Journal

Irrationality of certain fast converging series and infinite products

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DDDaniel DuverneyUniversité Fédérale de Toulouse Midi-Pyrénées

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Daniel Duverney (2024) studied this question.

synapsesocial.com/papers/68e672d9b6db6435875fd4f7https://doi.org/10.14492/hokmj/2022-679
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Also Consider

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  1. 1Irrationality of rapidly converging series: A problem of Erdős and Graham2026
  2. 2Refinements of Erdős’s irrationality criterion for certain sparse infinite series2026
  3. 3On the irrationality of certain super-polynomially decaying series2025
  4. 4On simultaneous rationality of two Ahmes series2024
  5. 5Fast converging irrational series for $ L(2,(\frac d\cdot))$2025