Schatte, P and Nagasaka, K (1991)

A note on Benford’s law for second order linear recurrences with periodical coefficients

Z. Anal. Anwend. 10(2), pp. 251-254.

ISSN/ISBN: Not available at this time. DOI: Not available at this time.

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• Zentralblatt: Zbl 0754.11021
• MathSciNet: MR1155374 (93b:11101)
• For online information, click here.

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Abstract: ZENTRALBLATT SUMMARY: A sequence (u_n)_n=1^∞satisfies Benford's law if (log₁₀|u_n|) is uniformly distributed modulo 1. For second-order linear recurrences u_n+2=a_n+2u_n+1+b_n+2u_n with periodic coefficients a_n+2, b_n+2 the authors prove a sufficient criterion for (u_n) satisfying Benford's law. As a corollary the sequences (p_n) and (q_n), where p_n/q_n denotes the n-th convergent of the continued fraction expansion of a quadratic irrational, satisfy Benford's law.

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Bibtex:
@article {, AUTHOR = {Schatte, P. AND Nagasaka, K.}, TITLE = {A note on Benford's law for second order linear recurrences with periodical coefficients}, JOURNAL = {Z. Anal. Anwend. }, YEAR = {1991}, VOLUME = {10}, NUMBER = {2}, PAGES = {251-254}, }

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Reference Type: Journal Article

Subject Area(s): Analysis, Number Theory

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