bibkey: luca2012some authors: Florian Luca and Pantelimon Stănică year: 2012 title: On Some Conjectures on the Monotonicity of Some Arithmetical Sequences doi: null url: https://faculty.nps.edu/pstanica/research/LucaStanicaJCNTfinal.pdf claim: Lemma 3.1 restates McIntosh’s asymptotic for unweighted complete binomial-product sums; that restatement is not an arbitrary-positive-weight truncated-ratio maximum result. strata_touched:

• D5/S3/AnalyticClosure/BinomialPowerNormalization license: citation-only triage: anchor

Unweighted complete sums and the source boundary

Lemma 3.1 on pages 6–7 restates a theorem of McIntosh for unweighted complete binomial-product sums. It supplies related classical asymptotics, but its inspected statement does not supply the arbitrary a weighting needed for the complete denominator in the generalized Glasby–Paseman ratio. That weighted estimate is attributed to D5/L/Analytic/abel2013binomial, Theorem 3.1.

The bounded audit supplied with #9357 read all 10 pages. The first page was consulted again on 2026-09-21 UTC for bibliographic identity: Journal of Combinatorics and Number Theory, volume 4, issue 3, 2012, pp. 1–10. The original McIntosh body, DOI 10.1006/jnth.1996.0072, remains unread in that audit. Attribution through this restatement does not establish the scope of every result in the original body.

Verified locator

• https://faculty.nps.edu/pstanica/research/LucaStanicaJCNTfinal.pdf, Lemma 3.1, pages 6–7; bibliographic identity on page 1.

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