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An identity for the Dedekind eta‐function involving two independent complex variables
Author(s) -
Berndt Bruce C.,
Hart William B.
Publication year - 2007
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdm004
Subject(s) - dedekind cut , mathematics , identity (music) , dedekind eta function , function (biology) , pure mathematics , dedekind sum , variable (mathematics) , combinatorics , mathematical analysis , modular form , physics , eisenstein series , evolutionary biology , acoustics , biology
Abstract The authors prove a new identity for the Dedekind eta‐function that involves third powers of the eta‐function, with each of the two cubes being a function of a different complex variable.