English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Pro

Presents the zaia usage as premium feature

ZAIA

Presents AI Discovery search usage as a premium feature

AI Discovery

Presents AI Discovery explain and summary usage as a premium feature

Content Analysis

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Presents the pdf analysis as premium feature

PDF Analysis

1500 Top-up

3000 Top-up

Zendy Basic

2500 Top-up

Zendy Unlimited

Presents the access of premium content as premium feature

Premium Content

In this paper we present a subgroup of modular units that arise naturally from analytic solutions to higher order $q$-recurrence equations given by Selberg in his work generalizing the Rogers-Ramanujan identities. Further, we express these modular units in terms of Siegel functions as considered by Kubert and Lang, and show they generate the group of all units of the modular curves $X(\ell)$ with cuspidal support on $\pi^{-1}(\infty)$, where $\pi:X(\ell)\to X_0(\ell)$ is the canonical projection.

Modular units and the $q$-difference equations of Selberg