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math.NT2023
Factoring determinants and applications to number theory
Estelle Basor, Brian Conrey
Products of shifted characteristic polynomials, and ratios of such products, averaged over the classical compact groups are of great interest to number theorists as they model simi…
math.NT2018★ 9 cited
Some multidimensional integrals in number theory and connections with the Painlevé V equation
Estelle Basor, Fan Ge, Michael O. Rubinstein
We study piecewise polynomial functions that appear in the asymptotics of averages of the divisor sum in short intervals. Specifically, we express these polynomials as the…