Dedekind Eta Function Product Identities by Michael Somos
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 those identities that I found and I put them in a canonical form that
was inspired by Michael Trott's results from 2000. Some of them are equivalent
to identities already in the literature and a reference 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 their correctness. Please
don't publicize any internal links such as the level files and eta07.gp. Please
inform me of any errors. Caveat emptor et caveat lector.
Last updated 17 May 2013
This page has URL http://eta.math.georgetown.edu/index.html
My contact info: firstname.lastname@example.org.