PORTUGALIAE MATHEMATICA Vol. 62, No. 3, pp. 325335 (2005) 

Distribution of digits in periodic decimalsJoseph LewittesHerbert H. Lehman College (CUNY),Bronx, NY 10468  USA Email: joseph.lewittes@lehman.cuny.edu Abstract: Consider fractions $\frac{a}{N}$, $0<a<N$, and their periodic expansions in base $B$, $(B,N)=1$. Our interest is in the number of times a $B$digit $b$ occurs among the periods of all such fractions, for fixed $N$, and also in the number of occurances of $b$ among the proper periods, those where $(a,N)=1$. Some historical perspective on this problem is also included. Full text of the article:
Electronic version published on: 7 Mar 2008.
© 2005 Sociedade Portuguesa de Matemática
