Re: Incorrect Summation

*To*: mathgroup at smc.vnet.net*Subject*: [mg129177] Re: Incorrect Summation*From*: Murray Eisenberg <murray at math.umass.edu>*Date*: Wed, 19 Dec 2012 05:01:19 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-newout@smc.vnet.net*Delivered-to*: mathgroup-newsend@smc.vnet.net*References*: <20121218073534.C7529694B@smc.vnet.net>

What did you type, exactly, for Wolfram|Alpha? I tried several "obvious" things, e.g., sum cos(log(log(k)))/log(k) for k from 2 to infinity but WA was unable even to interpret it correct as asking for the sum of an infinite series. On Dec 18, 2012, at 2:35 AM, amzoti <amzoti at gmail.com> wrote: > Hi All, > > can someone try this and see if it returns an incorrect result? > > Sum[Cos[Log[Log[k]]]/Log[k],{k,2,Infinity}] > > I tried it on WA and believe the result is incorrect. > > Thanks. --- Murray Eisenberg murray at math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower phone 413 549-1020 (H) University of Massachusetts 413 545-2838 (W) 710 North Pleasant Street fax 413 545-1801 Amherst, MA 01003-9305

**References**:**Incorrect Summation***From:*amzoti <amzoti@gmail.com>