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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
  • , where
Maclaurin Series
Taylor Series
  • , where
Some Power Series
Law of Sines
Law of Cosines
Hyperbolic functions
Half Angle Tangent