Abstract
The lead digit behavior of a large class of arithmetic sequences is determined by using results from the theory of uniform distribution $\operatorname{mod} 1$. Theory for triangular arrays is developed and applied to binomial coefficients. A conjecture of Benford's that the distribution of digits in all places tends to be nearly uniform is verified.
Citation
Persi Diaconis. "The Distribution of Leading Digits and Uniform Distribution Mod 1." Ann. Probab. 5 (1) 72 - 81, February, 1977. https://doi.org/10.1214/aop/1176995891
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