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Cheat Sheet

Cheat Sheet
 
Polylogarithm Function
  • (this function is defined in complex plane over a disk with radius 1)
 
Some formulas for argument ½ with small n are known:
 
Zeta Riemann Function (Euler’s Zeta Function)
 
General Zeta Riemann Function
 
Dirichlet Eta Function
 
Relationship between Zeta and Eta Functions
 
 
Zeta and Gamma Function
 
 
Gamma Function

 

Beta Function

 
  • ,
 
 
Digamma Function
  •  

 

Euler Product
 
Riemann Hypothesis
            Riemann conjectured that all zeros of in the critical strip line on the critical line Re s = ½.
 
Series Power of Natures Numbers
 
Arithmetic
 
Geometric
 
Binomial
  • , where
  •  
 
Maclaurin Series
  •  
 
Taylor Series
  • , where
  •  
 
Some Power Series
 
Trigonometry
 
 
 
 
 
Law of Sines
 
Law of Cosines
 
Hyperbolic functions
 
Complex
 
Half Angle Tangent