7
$\begingroup$

Hi, here, in wikipedia, the Landau-Ramanujan constant appears under a list of suspected transcendentals. I could not find anywhere a statement or a proof of it's irrationality. So, my question is, is the constant irrational( since it's under a list of suspected transcendentals, is it right to assume that it is irrational?) And if it is, is there a proof available? Thanks in advance.

$\endgroup$
  • 4
    $\begingroup$ Every number is a suspected transcendental, unless there's some compelling reason to believe it's algebraic. $\endgroup$ – Gerry Myerson Sep 13 '10 at 13:07
3
$\begingroup$

This is not a definitive answer, just a few links. This link of "important irrational constants" lists it as irrational, without a citation. The Encyclopedia of Integer Sequences has quite a few references at the page for Landau-Ramanujan, one or more of which may contain what you seek.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.