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math.NT2021★ 4 cited
Asymptotics of arithmetic functions of GCD and LCM of random integers in hyperbolic regions
Alexander Iksanov, Alexander Marynych, Kilian Raschel
We prove limit theorems for the greatest common divisor and the least common multiple of random integers. While the case of integers uniformly distributed on a hypercube with growi…
math.NT2020
Differential transcendence of Bell numbers and relatives: a Galois theoretic approach
Alin Bostan, Lucia Di Vizio, Kilian Raschel
In 2003 Klazar proved that the ordinary generating function of the sequence of Bell numbers is differentially transcendental over the field of meromorphic funct…