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Main SMS (2008)

 

December 14, 2008

 

An infinite series has a connection with one of the roots of the quartic equation and the constant Pi.
 
,
where  
, which is one of the roots of the quartic equation
 
                     .
 

December 13, 2008
 
 
The Riemann Zeta (7) constant has been found in a series in which the hyperbolic functions and other math constants appear.
 
, where is a Riemann zeta constant.

  
 
August 12, 2008

The infinite series of the BBP-type formula is found and used to compute the digits of the constant .

.
 
 
Another series is found in terms of other math constants, namely
 
.
 
Click here to see other similar series of this type.
 

August 2, 2008
  
General Inverse Tangent Series of Unknown Names
        ,
 
where , , and.
 
It reveals many inverse tangent and Machine-like formulas. For example, the simple one of this type is obtained when n = 1, namely
 
            .
 
Click here to see other forms.
 

May 1, 2008
 
 
Power Sum and Sum of Partial Power Sums for any positive integer n. 
 
 
Power Sum
 
      

                      
  
 
 
Sum of Partial Power Sums
 

                  
Click here to see other similar formulas.
   

January 31, 2008
 
 
.
 
  

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