Modular units from quotients of Rogers-Ramanujan type $q$-series

摘要: In [4] and [5], Folsom presents a family of modular units as higher-level analogues the Rogers-Ramanujan $q$-continued fraction. These are constructed from analytic solutions to higher-order $q$-recurrence equations Selberg. Here, we consider another units, which quotients Hall-Littlewood $q$-series that appear in generalized type identities [6]. analogy with results Folsom, provide formula for rank subgroup these generate show their specializations at cusp $0$ cyclotomic unit group same rank. addition, prove singular values class fields those Folsom's units.