author = {Mark van Hoeij and Cristian-Silviu Radu },
title = {{COMPUTING AN ORDER COMPLETE BASIS FOR M∞(N) AND APPLICATIONS}},
language = {english},
abstract = {This paper gives a quick way to construct all modular functions for the group Γ0 (N ) having only a pole at τ = i∞. We assume that we are given two modular functions f, g for Γ0 (N ) with poles only at i∞ and coprime pole orders. As an application we obtain two new identities from which one can derive that p(11n + 6) ≡ 0 (mod 11), here p(n) is the usual partition function. },
number = {19-50},
year = {2019},
keywords = {integral bases, modular functions},
length = {6},
license = {CC BY 4.0 International},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Altenberger Straße 69, 4040 Linz, Austria},
issn = {2791-4267 (online)}