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Ohkubo, Y and Strauch, O (2016)

Distribution of leading digits of numbers

Uniform Distribution Theory 11(1), pp. 23-45 .

ISSN/ISBN: Not available at this time. DOI: 10.1515/udt-2016-0003



Abstract: Applying the theory of distribution functions of sequences we find the relative densities of the first digits also for sequences xn not satisfy- ing Benford’s law. Especially for sequence xn = nr, n = 1,2,... and xn = prn, n = 1,2,..., where pn is the increasing sequence of all primes and r > 0 is an arbitrary real. We also add rate of convergence to such densities.


Bibtex:
@article{, author = {Yukio Ohkubo and Oto Strauch}, title = {Distribution of Leading Digits of Numbers}, year = {2016}, journal = {Uniform Distribution Theory}, volume = {11}, number = {1}, pages = {23--45}, doi = {10.1515/udt-2016-0003}, }


Reference Type: Journal Article

Subject Area(s): Number Theory, Numerical Analysis