RamanujanTauL

Notations

Traditional name

Traditional notation

Mathematica StandardForm notation

Primary definition

Specific values

Specialized values

Values at fixed points

Values at infinities

General characteristics

Domain and analyticity

τL(z) is an analytical function of z which is defined over the complex z-plane.

Symmetries and periodicities

Mirror symmetry

Periodicity

No periodicity

Poles and essential singularities

The function τL(z) does not have poles and essential singularities.

Branch points

The function τL(z) does not have branch points.

Branch cuts

The function τL(z) does not have branch cuts.

Product representations

Identities

Functional identities

Differentiation

Low-order differentiation

Representations through equivalent functions

With related functions

Zeros

There exists the hypothethis that all nontrivial zeroes of τL(z) lie on the line Re(z)==6.

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