7 citations · 7 across the 1 of their papers we have counts for
4 papers
An asymptotic formula for integer points on Markoff-Hurwitz varieties
Alex Gamburd, Michael Magee, Ryan Ronan
We establish an asymptotic formula for the number of integer solutions to the Markoff-Hurwitz equation \[ x_{1}^{2}+x_{2}^{2}+\ldots+x_{n}^{2}=ax_{1}x_{2}\ldots x_{n}+k. \] When $n…
Benford's Law and Continuous Dependent Random Variables
Thealexa Becker, David Burt, Taylor C. Corcoran +9
Many mathematical, man-made and natural systems exhibit a leading-digit bias, where a first digit (base 10) of 1 occurs not 11\% of the time, as one would expect if all digits were…
Benford's Law and Continuous Dependent Random Variables
Thealexa Becker, Alec Greaves-Tunnell, Steven J. Miller +2
Many systems exhibit a digit bias. For example, the first digit base 10 of the Fibonacci numbers, or of , equals 1 not 10% or 11% of the time, as one would expect if all digit…
Generalized Ramanujan Primes
Nadine Amersi, Olivia Beckwith, Steven J. Miller +2
In 1845, Bertrand conjectured that for all integers , there exists at least one prime in . This was proved by Chebyshev in 1860, and then generalized by Ramanujan…