3 papers
math.PR2019
The Surprising Accuracy of Benford's Law in Mathematics
Zhaodong Cai, Matthew Faust, A. J. Hildebrand +2
Benford's law is an empirical ``law'' governing the frequency of leading digits in numerical data sets. Surprisingly, for mathematical sequences the predictions derived from it can…
math.NT2018
A local Benford Law for a class of arithmetic sequences
Zhaodong Cai, A. J. Hildebrand, Junxian Li
It is well-known that sequences such as the Fibonacci numbers and the factorials satisfy Benford's Law, that is, leading digits in these sequences occur with frequencies given by $…
math.NT2017
Leading Digits of Mersenne Numbers
Zhaodong Cai, Matthew Faust, A. J. Hildebrand +2
It has long been known that sequences such as the powers of and the factorials satisfy Benford's Law; that is, leading digits in these sequences occur with frequencies given by…