As the title says, is it known whether or not the Glaisher constant is a transcendental number?
2026-03-29 02:20:48.1774750848
Is the Glaisher–Kinkelin constant transcendental?
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Math Reviews returns 10 papers when one searches for Glaisher and Kinkelin. Not one of the ten reviews has anything to say about irrationality or transcendence. Absence of evidence is not evidence of absence, but this suggests to me that nothing is known about the question.