On Monotonic Strengthening of Newman-like Phenomenon on (2m+1)-multiples in Base 2m
Vladimir Shevelev
TL;DR
This paper derives exact and asymptotic formulas for counting certain multiples with even digit sums in a specific base, revealing a phenomenon related to monotonic strengthening in number theory.
Contribution
It provides new exact and asymptotic expressions for the excess of (2m+1)-multiples with even digit sums in base 2m, extending understanding of Newman-like phenomena.
Findings
Exact formulas for the excess of multiples with even digit sums.
Asymptotic expressions describing the behavior for large k.
Identification of a monotonic strengthening phenomenon in the distribution.
Abstract
We obtain exact and asymptotic expressions for the excess of nonnegative (2m+1)-multiples less than (2m)^k with even digit sums in the base 2m.
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Taxonomy
TopicsMathematical and Theoretical Analysis · Mathematical functions and polynomials · Benford’s Law and Fraud Detection