# User talk:Titus III

Welcome!

## Welcome

Hello, Titus III, and welcome to Wikipedia! Thank you for your contributions. I hope you like the place and decide to stay. Here are a few good links for newcomers:

I hope you enjoy editing here and being a Wikipedian! Please sign your name on talk pages using four tildes (~~~~); this will automatically produce your name and the date. If you have any questions, check out Wikipedia:Where to ask a question or ask me on my talk page. Again, welcome!

And don't forget, the edit summary is your friend. :) Oleg Alexandrov (talk) 16:55, 8 January 2006 (UTC)

## J-invariant Inverse

In February of 2014 you added some very useful methods, four actually, for inverting the J-invariant. They are very useful, but after searching the number theory literature for Ramanujan's alternative base theories for a few hours I have only found proofs of a few of them. Would you mind citing the reference you used to write down those formulae, and / or the original sources? Thanks. Jhhalverson (talk) 19:44, 5 January 2016 (UTC)

## Proposed deletion of Sagan's Identity

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Unless the article has secondary sources to back it up, it violates WP:OR as "original research". Loadmaster (talk) 23:31, 7 September 2008 (UTC)

## niobium

Hi. You added a list with the electronic configuration to niobium and I do not get the point why niobium is unique in this row? The chemistry of niobium and tantalum is so similar that separation is difficult and was impossible for severeal decades after their discovery. The atom orbital is mixed state of all undelying wave functions and therefore the lectronic notation does not help more than a drawing of the Bohr atom model. Can you provide a good source why this is necessary in the FA niobium? --Stone (talk) 21:15, 16 February 2009 (UTC)

Hello Stone. Well, I don't think the electron notation (as the number of electrons in shells K,L,M,...) is completely useless but can provide a convenient (though not absolute) heuristic. As you know, the outermost shell of the noble gases (excepting helium) has 8 electrons, those of the halogen group has 7, the oxygen group has 6, the nitrogen group has 5, etc. One may then hastily conclude that ALL groups have its member elements with the same number of electrons in the valence shell. As proven by niobium (and a few others), this is NOT necessarily the case, hence why I took the trouble of pointing it out so others may not make that conclusion.

P.S. As a sidenote, is it absolutely sure the electron configuration of niobium ends with 12,1? Pls refer to my question in the discussion page of lawrencium since there seems to be two contradictory forms for that element, one cited in the infobox and the other in the main text.Titus III (talk) 13:17, 17 February 2009 (UTC)

The group number and the number of electrons in the outer shell are a good way to understand main group chemistr, but for the transition metals the number is basically worthles. Also for hybridisation the number in each shell does not give you additional information either. The chemistry of tantalum and niobium is taht of oxidation state of 5 and 3 and they are very similar in chemical reactions. The 1 in the table suggests that with one valence electron the oxidation state 1 dominates the chemistry, which is in reality not the case. So what does the table benefit, than substituting one wrong assumption that all elements in the group have the same electron configuration by the wrong fact that niobium has one valence electron.--Stone (talk) 15:58, 17 February 2009 (UTC)

Hello Stone,

1. These tables (whether for the noble gases, halogen group, or any of the 18 groups) showing the electron configuration provide - in one glance - one easy way to see how member elements are related. For example, for the noble gases (other than helium) it is seen that the outermost shell contains 8 electrons which has implications for the chemical behavior of the family. For the transition metals, as you pointed out, the chemical implications may not be straightforward, but it turns out the sum of the number of electrons in the last two shells is a constant. Thus, with a list of all the transition metals showing just the number of electrons in the last two shells, even without knowing the atomic number, even with the element names replaced by arbitrary labels, one can sort them into the correct groups.

2. The information in these tables are found in the Infobox accompanying each article, spread over many webpages. For the case of niobium (and a few others), they were just put together for the convenience of seeing them in one place.

3. It is a statement of fact that niobium has a different configuration in the last two shells than the rest of its group. Note I took care not to write anything implying this has implications for its chemical behavior. Titus III (talk) 13:58, 18 February 2009 (UTC)

## Tale of four constants

Titus, interesting stuff, but since it's your own unpublished work, not suitable for spamming on a bunch of WP articles. I reverted several. Dicklyon (talk) 06:08, 9 October 2010 (UTC)

## Talkback

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Message added 17:48, 15 June 2012 (UTC). You can remove this notice at any time by removing the {{Talkback}} or {{Tb}} template.

Dougweller (talk) 17:48, 15 June 2012 (UTC)

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## November 2013

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Baby Monster group (check to confirm | fix with Dab solver)
Conway group (check to confirm | fix with Dab solver)
Conway group Co3 (check to confirm | fix with Dab solver)
Fischer group (check to confirm | fix with Dab solver)
Fischer group Fi23 (check to confirm | fix with Dab solver)
Fischer group Fi24 (check to confirm | fix with Dab solver)
Harada–Norton group (check to confirm | fix with Dab solver)
Held group (check to confirm | fix with Dab solver)
Thompson sporadic group (check to confirm | fix with Dab solver)

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## Titus To Titus

Hey Titus III,

I Don't Know you, but I made this for you:

Titus The III

A Signature! Hope You Like It! 17:20, 26 February 2014 (UTC)

## Some copy-editing

Hello.

Please notice the copy-editing I did on Ramanujan–Sato series and bear certain things in mind in future editing:

• I changed the title from Ramanujan-Sato series to Ramanujan–Sato series, and made the same punctuation change at each point in the article where that phrase occurs. I also changed McKay-Thompson to McKay–Thompson in several places, and Bailey-Borwein-Plouffe to Bailey–Borwein–Plouffe. That is is required by WP:MOS.
• I changed the links from other articles to links to the new title.
• I also found several ranges of pages in which I made the same punctuation change, e.g. 361-383 was changed to 361–383. Also in WP:MOS.
• I set the title phrase in bold at its first appearance. That is also required by WP:MOS.
• I italicized some subscripted "n"s. Generally variables in mathematical notation are italicized and digits, punctuation such as parentheses, and things like cos, det, max, log, gcd, etc., are not. That matches the style used in TeX, LaTeX, MathJax, etc.

Michael Hardy (talk) 17:03, 13 April 2014 (UTC)

## Question on section Inverse function on the page j-invariant

Thanks for the formulas for the inverse of the j-invariant. They are quite useful. Could you add a reference to them? By the way, I found one more such formula:

tau = -i + 2 * i * 2F1([1/12, 5/12], [1], 1) * 2F1([1/12, 5/12], [1/2], 1-alpha) / 2F1([1/12, 5/12], [1], alpha)

where alpha = 1728/j. This formula fits in the same pattern as the other formulas, this time alpha being a solution of a linear equation. MvH (talk) 15:21, 17 June 2014 (UTC)MvH

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## Euler's sum of powers conjecture

Hi Titus III, Yesterday you removed some information recently added to the article mentioned above. In your edit summary, your explanation involved (as far as I can tell) some factual claims and an external link not in the article. Perhaps you can add them in an appropriate place? Thanks! Best, JBL (talk) 15:43, 20 December 2014 (UTC)

Hello Joel. It is done. The early tables for (4,1,4) and (5,1,5) are found in the 1967 paper of Lander, Parkin, Selfridge. James Waldby extended the (5,1,5) table up to sums 10000^5 in 2009 (personal communication). I have now included his site in the "External Links" page. Titus III (talk) 17:31, 20 December 2014 (UTC)

That's great, thanks very much! --JBL (talk) 17:46, 20 December 2014 (UTC)

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## Planet Nine "evidence"

Hi, since I've now apparently twice reverted your addition of "a" before "evidence" in Planet Nine, I just want to point out that "evidence" is usually an uncountable noun, so doesn't take an indefinite article. --Ørjan (talk) 02:41, 5 February 2016 (UTC)

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## Manila tallest buildings

Hi Titus! Thanks for constantly updating the List of tallest buildings in Metro Manila. When you get the time, you may also want to review this Template:Manila Skyscrapers that i made that actually links to the individual skyscraper articles. Appreciate your contributions here!--RioHondo (talk) 13:32, 9 February 2017 (UTC)

## Ramanujan–Sato series

Hi Titus III

I don't agree with your cancellation. First of all this formula is a part of these kind of series as you will easy see when you compare this with that above from Ramanujan. Secondly as well 396^4k as 16^4k is a modul. Further Ramanujan made the enigmatic remark that there were "corresponding theories" ... and with this formular I found at least one new of them. Thus I reclaim this formula but moved this one paragraph deeper and explained the theory related a bit.

Sincerely yours

Ralf.steiner — Preceding unsigned comment added by Ralf.steiner (talkcontribs) 07:20, 23 March 2017 (UTC)

Hello Ralf. An example of a Ramanujan-Sato series is
${\displaystyle {\frac {1}{\pi }}=\sum _{k=0}^{\infty }{\tbinom {2k}{k}}^{3}\,{\frac {Ak+B}{D^{k}}}}$
There are infinitely many algebraic numbers ${\displaystyle A,B,D}$ which make the above equation true, and these three variables can be found using modular forms. Your equation has the similar form,
${\displaystyle {\frac {1}{\pi }}=\sum _{k=0}^{\infty }C_{k}^{2}\,{\frac {Ak+B}{D^{k}}}}$
where ${\displaystyle C_{k}}$ are the Catalan numbers. But unless you can rigorously prove that the single example of ${\displaystyle A,B,D}$ you found can be derived using modular forms or the Dedekind eta function, and can also be generalized to algebraic numbers using square roots, etc, then your formula's status as a Ramanujan-Sato series is still not established. However, as a compromise, we can create a separate section for it after the well-established levels. Titus III (talk) 13:39, 23 March 2017 (UTC)

Hello Titus III

I thank you very much for your above explanation and the compromise you find I fully agree with him. In the mean time at OEIS A001246 Mr. J. Arndt also had have a deeper look at my formula (and this link) and canceled my "it seems" regarding this question. Please further note that there are not only a single ONE formula (google for V_250116.pdf) ... there is a periodic of (4k+#) in the numerator of the sum to become a pure 1/Pi term each.

Sincerely yours,

Ralf.steiner — Preceding unsigned comment added by Ralf.steiner (talkcontribs) 17:10, 23 March 2017 (UTC)

Hello Titus III

Please note that I recently found a second periodic (in k) for the first formula and thus the proof that this formular is derived by modular forms and fulfils the requirements for this kind of series.

Sincerely yours

Ralf.steiner Ralf.steiner (talk) 16:20, 29 March 2017 (UTC)