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arxiv: 1507.02671 · v2 · pith:7CVLXQ7Ynew · submitted 2015-07-09 · 🧮 math.NT

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

classification 🧮 math.NT
keywords conjectureformsfunctionsgeneralizedquasi-modularrosesum-of-divisorcertain
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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 $\Gamma_1(n)$. Here, we prove this conjecture.

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