Open Access

Proof of conjecture regarding the level of Rose’s generalized sum-of-divisor functions

Research in Number Theory20151:16

DOI: 10.1007/s40993-015-0017-3

Received: 8 July 2015

Accepted: 3 August 2015

Published: 2 December 2015

Abstract

In a recent paper, Rose proves that certain generalized sum-of-divisor functions are quasi-modular forms for some congruence subgroup and conjectures that these forms are quasi-modular for Γ 1(n). Here, we prove this conjecture.