29 citations · 32 across the 8 of their papers we have counts for
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math.NT2021
Somewhat smooth numbers in short intervals
Andreas Weingartner
We use exponent pairs to establish the existence of many -smooth numbers in short intervals , when . In particular, is admissible. Assuming…
math.NT2021★ 1 cited
The mean number of divisors for rough, dense and practical numbers
Andreas Weingartner
We give asymptotic estimates for the mean number of divisors of integers without small prime factors, integers with bounded ratios of consecutive divisors, and for practical number…
math.NT2021
The number of prime factors of integers with dense divisors
Andreas Weingartner
We show that for integers , whose ratios of consecutive divisors are bounded above by an arbitrary constant, the normal order of the number of prime factors is ,…