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math.NT2024
Periodic minimum in the count of binomial coefficients not divisible by a prime
Hsien-Kuei Hwang, Svante Janson, Tsung-Hsi Tsai
The summatory function of the number of binomial coefficients not divisible by a prime is known to exhibit regular periodic oscillations, yet identifying the less regularly behaved…
math.NT2009★ 2 cited
Delange's Tauberian theorem and asymptotic normality of random ordered factorizations of integers
Hsien-Kuei Hwang, Svante Janson
By a suitable shifting-the-mean parametrization at the Dirichlet series level and Delange's Tauberian theorems, we show that the number of factors in random ordered factorizations…