RademacherPhi

Rademacher's $\Phi$ function, built from Dedekind sums — the correction term that makes $\log\eta$ transform correctly under the modular group. Unlike RademacherSymbol it is not a class function.

RademacherPhi(matrix)$\Phi(M) = (a+d)/c - 12\,\mathrm{sign}(c)\,s(d,|c|)$

Typed signatures

Type	Package	Applies
(expression<ModularMatrix> | list | string) -> integer	modular	always

Domain: The modular group

Examples

Basic #

Built from Dedekind sums

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In$\mathrm{RademacherPhi}(\mathrm{ModularMatrix}(1, 4, 1, 5))$Out$6$

About

Examples	1

See also: RademacherSymbol, DedekindSum