127 citations · 1.2k across the 174 of their papers we have counts for
12 papers · 1 filter
The James Function
Christopher N. B. Hammond, Warren P. Johnson, Steven J. Miller
We investigate the properties of the James function, associated with Bill James's so-called "log5 method," which assigns a probability to the result of a game between two teams bas…
Newman's conjecture in various settings
Julio Andrade, Alan Chang, Steven J. Miller
De Bruijn and Newman introduced a deformation of the Riemann zeta function , and found a real constant which encodes the movement of the zeros of under the deforma…
Generalizing Zeckendorf's Theorem to f-decompositions
Philippe Demontigny, Thao Do, Archit Kulkarni +3
A beautiful theorem of Zeckendorf states that every positive integer can be uniquely decomposed as a sum of non-consecutive Fibonacci numbers , where , …
Special Sets of Primes in Function Fields
Julio Andrade, Steven J. Miller, Kyle Pratt +1
When investigating the distribution of the Euler totient function, one encounters sets of primes P where if p is in P then r is in P for all r|(p-1). While it is easy to construct…
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…
A Generalization of Fibonacci Far-Difference Representations and Gaussian Behavior
Philippe Demontigny, Thao Do, Archit Kulkarni +2
A natural generalization of base B expansions is Zeckendorf's Theorem: every integer can be uniquely written as a sum of non-consecutive Fibonacci numbers , with $F_{n+1}…