Document Type

Article

Publication Date

11-2019

Abstract

We prove a generalization of Schroter's formula to a product of an arbitrary number of Jacobi triple products. It is then shown that many of the well-known identities involving Jacobi triple products (for example the Quintuple Product Identity, the Septuple Product Identity, and Winquist's Identity) all then follow as special cases of this general identity. Various other general identities, for example certain expansions of (q; q)(infinity) and (q; q)(infinity)(k), k >= 3, as combinations of Jacobi triple products, are also proved.

Publication Title

Annals of Combinatorics

ISSN

0218-0006

Publisher

Springer

Volume

23

Issue

3-4

First Page

889

Last Page

906

DOI

10.1007/s00026-019-00453-8

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