Suman's attempted proof of zeta(5) irrationality fails because it mistakes the existence of integer solutions to a Diophantine equation for the rationality of zeta(5).
Apéry, Irrationalité de ζ(2) et ζ(3), Astérisque, 61 (1979) 11–13
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A Note on a Recent Attempt to Prove the Irrationality of $\zeta(5)$
Suman's attempted proof of zeta(5) irrationality fails because it mistakes the existence of integer solutions to a Diophantine equation for the rationality of zeta(5).