Is Apéry's Constant Transcendental?

Open Question

It is not known whether Apéry's constant $\map \zeta 3$ is transcendental or not.


Also see


Sources

  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $1 \cdotp 202 \, 056 \ldots$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $1 \cdotp 20205 \, 6 \ldots$
  • 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): Apéry's constant
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