Patterson, C and Scheepers, M (2024)

Benford's Law in the ring ℤ(√ D)

arXiv:2402.10864 .

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

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Abstract: For D a natural number that is not a perfect square and for k a non-zero integer, consider the subset ℤ_k(√D) of the quadratic integer ring ℤ(√D) consisting of elements x+y√D for which x²−Dy²=k . For each k such that the set ℤ_k(√D) is nonempty, ℤ_k(√D) has a natural arrangement into a sequence for which the corresponding sequence of integers x, as well as the corresponding sequence of integers y, are strong Benford sequences.

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Bibtex:
Not available at this time.

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Reference Type: Preprint

Subject Area(s): Number Theory

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