,ver4#jd4bi4ic99;,,end99                
,mathematical constants and numbers     
edited by  ,simon ,plouffe  ,associate  
,professor  ,la,c,i,m1 ,university of   
,quebec at ,montreal                    
http3_/_/www4lacim4uqam4ca_/pi 3        
,plouffe's ,inverter                    
plouffemath4uqam4ca            ,the     
value of ,zeta7#c7 to #a1jjj1jjj decimal
 digits4  the number is defined as      
sum7#a_/n#c1n#a44;infinity71 the  sum of
 inverses of cubes and equals           
#a4bjbjefijca444      ,computed by  3   
,sebastian ,wedeniwski                  
7wedeniwsde4ibm4com7  who computed more 
than #abh million digits using this more
  efficient formula found by ,theodor   
,amdeberhan and ,doron ,zeilberger4     
_/                                      
------                                  
#c                                   n  
,a7n7  77#b n  #a76 7#b n76 n67         
,zeta7#c7   #a_/bd    7     7-#a7       
------------------------------          
_/                                      

#c                           ------     
7#c n  #b76 77#d n  #c767               
n  #j                                   
_/                            #e        
#d          #c          #b  with  ,a7n7 
3 #abfcib n  #dabgjh n  #ecaegh n       
#ccfcfg n  #ajdjjj n  #abdfc  given by  
,theodor ,amdeberhan and ,doron         
,zeilberger 7see #a74    ,references3   
#a ,t4 ,amdeberhan und ,d4 ,zeilberger3 
,hypergeometric ,series ,acceleration   
via      the ,,wz ,method1 ,electronic  
,journal of ,combinatorics 7,wilf       
,festschrift      ,volume7 #d 7#aiig74  
#b ,b4 ,haible1 ,t4 ,papanikolaou3 ,fast
 multiprecision evaluation of series of 
rational numbers1 ,technical ,report    
,,ti-#ig-g1 ,darmstadt ,university of   
,technology1 ,april #aiig4    #c ,s4    
,wedeniwski3 ,piologie - ,eine exakte   
arithmetische ,bibliothek in ,c1        
,technical ,report ,,wsi #if-ce1        
,tuebingen ,university1 available by    
anonymous      ftp from                 
ftp3_/_/ftp4informatik4uni-tuebingen4de_

/pub_/,,ca_/software_/,piologie_/       
or                                      
ftp3_/_/ruediger4informatik4uni-tuebinge
n4de_/,piologie_/4                      
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