is it true (or probably true) that the second partial fraction of Zeta[k]/Pi^k (k odd) is the largest among the first 2^k partial fractions? seems correct for k= 3, 5, 7, 9, 11 second pf: 25, 295, 2995, 29749, 294058 if true for k=13, then 2903320 is biggest among the first 2^13. So, if true, then Zeta[k]/Pi^k for big odd k, behaves a bit like myself. Wouter. (trying hard to appear rational). -----Original Message----- From: math-fun-bounces@mailman.xmission.com [mailto:math-fun-bounces@mailman.xmission.com] On Behalf Of Dan Asimov Sent: donderdag 5 mei 2011 17:09 To: math-fun Subject: Re: [math-fun] claimed proof that zeta(5) is irrational It's amazing how this issue has resisted progress until 1979. Many finite sets of zeta(odd)'s are now known to contain at least one irrational (e.g., papers by W. Zudilin). But I'd be more interested to know whether zeta(n)/pi^n is rational for n odd, as it is for n even. --Dan =============================== This email is confidential and intended solely for the use of the individual to whom it is addressed. If you are not the intended recipient, be advised that you have received this email in error and that any use, dissemination, forwarding, printing, or copying of this email is strictly prohibited. You are explicitly requested to notify the sender of this email that the intended recipient was not reached.