A collection of over 6300 identities for the Dedekind Eta Function
The Dedekind eta function satisfies many identities and many modular equations
are equivalent to Dedekind eta product identities. Beginning in 2004 I started
to collect some identities that I found and I put them in a canonical form that
was inspired by Michael Trott's results from 2000. Some of the identities are
equivalent to ones published and a reference to it is given if known to me.
Some of the identities were found by Ramanujan. Many others are equivalent to
identities that I found in my own research activities. This list of identities
can be explored to formulate conjectures such as my conjecture about a unique
and remarkable eta product identity. I have automated scripts to check all the
identities in my collection but I offer no proofs of these identities.
*Please* inform me of any typos or other kind of errors.
Nota bene: Caveat emptor et caveat lector.
This page has URL http://eta.math.georgetown.edu/index.html
Last updated 28 Apr 2019
by Michael Somos <firstname.lastname@example.org>