Talk:Von Mangoldt function

ordinates vs abscissae

In this section, at the end, when it says "spikes at ordinates" I think it's meant "spikes at abscissae". Jesuslop (talk) 15:17, 10 November 2023 (UTC)[reply]

I removed "at the

x

-axis ordinate", which is a contradictory expression, and didn't replace it with "at the

y

-axis ordinate", which would be a pleonasm. We can very well see the spikes: no need to try a clumsy explanation as to where they are located.

Expansion of terms

I have removed this section as it is not verified by citation of independent reliable sources, as was requested some time ago. Deltahedron (talk) 16:20, 12 April 2014 (UTC)[reply]

Thank you. Sapphorain (talk) 18:16, 12 April 2014 (UTC)[reply]

Assessment comment

The comment(s) below were originally left at Talk:Von Mangoldt function/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.

What about Σ((Λ(n)-1)/n) ? (for n=2..)

Last edited at 19:33, 14 August 2008 (UTC). Substituted at 02:40, 5 May 2016 (UTC)

Extremely disappointing article

I am extremely disappointed to see that in the definition of the subject of the article, in the section Definition:

The von Mangoldt function, denoted by $Λ(n)$ , is defined as

\Lambda (n)={\begin{cases}\log p&{\text{if }}n=p^{k}{\text{ for some prime }}p{\text{ and integer }}k\geq 1,\\0&{\text{otherwise.}}\end{cases}}

there is no mention of the fact that the notation "log" refers to the natural logarithm (logarithm to the base e) and not to any other logarithm.

Is it really possible that someone writing this article is unaware that that the notation "log" can refer to various bases of logarithm?

On the other hand, it is entirely possible that a naïve reader of ths article might wonder which logarithm the notation "log" refers to.

I very much hope that people who do not care about whether their writings are understood by readers will stop writing for Wikipedia and find something else to do with their spare time.2601:200:C000:1A0:B948:3237:8DF:ADC2 (talk) 14:41, 6 May 2021 (UTC)[reply]

"Exponential series" is nowhere defined

The section Exponential series never defines what the "exponential series" is, although it does include a graph that is captioned as the graph of it.

I hope someone knowledgeable about this subject can fix this.