Main SMS (2009)
| December 20, 2009 |
Infinite Series in Connection with Pi Constant
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| November 26, 2009 (Happy Thanksgiving) |
Finite Series in Connection with Apéry, Pi Constants
The n-th partial sum below is expressed in terms of Hurwitz zeta function for each positive integer n.
,
where
, s and a are complex variables.
| November 07, 2009 |
Finite Series Are Expressed in Terms of n-th Partial Sum of Hurwitz Zeta Function
For real x and each positive integer n,
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| October 25, 2009 |
Finite Series in General Form
For real x ≠ 0 and each positive integer n,
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| September 26, 2009 |
50 Identities of Power Summation (Update)
| July 8, 2009 |
A Family of Finite BBP-Type Series in the Base of 729
For each positive integer n,
.| July 1, 2009 |
Some BBP-Type Series for Computing Pi (Update)
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| June 14, 2009 |
A Brief Note of the Sum of Riemann Zeta Function and the Digamma Function
The sum of Riemann zeta function,
, is found in the closed-form.
, is found in the closed-form.
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| April 12, 2009 and May 3, 2009 |
Some Finite Series Found in Closed-Form
For each positive integer n, the following finite series are found in a closed-form.
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| April 9, 2009 |
Some Finite Series Help to Find a Family of Machin-Type Formula
For each positive integer n,
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