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math.PR2024
A simple proof of the formula of Solov'ev--Nielsen--Blom for the expected waiting time
Yuuya Yoshida
Solov'ev (1966), Nielsen (1973), and Blom (1982) independently showed a formula for the expected waiting time until a given finite pattern first occurs in random data. In this pape…
math.NT2024★ 1 cited
Asymptotic and non-asymptotic results for a binary additive problem involving Piatetski-Shapiro numbers
Yuuya Yoshida
For all with , we show that the number of pairs of positive integers with is…