363 reputation
19
bio website suu.edu/faculty/weingartner
location Cedar City, UT
age
visits member for 4 years, 3 months
seen 4 hours ago

Professor of Mathematics at Southern Utah University


May
20
awarded  Critic
May
20
awarded  Informed
May
19
revised Numbers represented by inhomogeneous forms
added 144 characters in body
May
19
answered Numbers represented by inhomogeneous forms
May
10
revised Ratio of consecutive divisors and average
fixed typo
May
10
awarded  Autobiographer
May
10
revised Ratio of consecutive divisors and average
fixed typo, added two references
May
10
awarded  Scholar
May
10
accepted Completely multiplicative functions with values in $\{-1,1\}$
May
10
awarded  Nice Question
May
9
awarded  Yearling
May
9
awarded  Student
May
9
asked Completely multiplicative functions with values in $\{-1,1\}$
Dec
8
comment Ratio of consecutive divisors and average
We have $D(x,t) \asymp x \log t / \log x$ for $x \ge t \ge 2$, a result due to Saias. So for fixed $t$, the integers with $F(n)/n \le t$ have zero density.
Dec
8
comment Ratio of consecutive divisors and average
I don't think there is a typo. Because you are looking for a maximum, you can take $\beta_i = \alpha_i$.
Dec
8
revised Ratio of consecutive divisors and average
added 26 characters in body
Dec
8
revised Ratio of consecutive divisors and average
added 6 characters in body
Dec
8
comment Ratio of consecutive divisors and average
Yes, $d|n$ implies $d\le n$ in the definition of $F$.
Dec
8
revised Ratio of consecutive divisors and average
deleted 17 characters in body; deleted 4 characters in body
Dec
8
revised Ratio of consecutive divisors and average
added 96 characters in body