4 papers
Sums of proper divisors with missing digits
Kübra Benli, Giulia Cesana, Cécile Dartyge +2
Let denote the sum of proper divisors of an integer . In 1992, Erdős, Granville, Pomerance, and Spiro (EGPS) conjectured that if is a set of integers with a…
Fourier Coefficients of Weight Zero Mixed False Modular Forms
Giulia Cesana
In this paper we employ the Circle Method to give exact formulae for Fourier coefficients of an infinite family of weight zero mixed false modular forms using and extending the tec…
Asymptotic equidistribution for partition statistics and topological invariants
Giulia Cesana, William Craig, Joshua Males
We provide a general framework for proving asymptotic equidistribution, convexity, and log concavity of coefficients of generating functions on arithmetic progressions. Our central…
Bivariate asymptotics for eta-theta quotients with simple poles
Giulia Cesana, Joshua Males
We employ a variant of Wright's circle method to determine the bivariate asymptotic behaviour of Fourier coefficients for a wide class of eta-theta quotients with simple poles in $…