Euler Sum of Powers Conjecture: Tutorial

Tutorials
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This information is also posted in Euler Conjecture and CDC 6600 - #82 by RonShepard.

I have written an initial draft of a short paper that summarizes the contents of the previous Euler conjecture discussion thread. It contains three versions of the fortran code, a straightforward version and two optimized versions. My intention is to post the paper and the associated fortran codes in the Tutorial section here in the discourse.

There is also the possibility of posting this to the RosettaCode site at some time in the future. The fortran codes that are already there are, let’s say, problematic.

My first goal is to ensure that everyone is acknowledged appropriately for their contributions to this earlier thread. I think the best way would be to just include everyone in the author list of the paper. My intention is for this to be as inclusive as possible. Here is my current list:

@mecej4, @themos, @ivanpribec, @rwmsu,
@MarDie, @JohnCampbell, @wspector, @certik,
@ivanpribec,

If anyone else wants their name added, just notify me here in this thread, or in the earlier thread, or with a DMS. If someone wants their name removed, that will also be done, of course. There is also the possibility of adding names to an acknowledgement within the paper rather than as an author.

After I get the correct list of names, I will post the paper, which is in PDF format written originally in latex. I don’t think there is an easy way to edit a shared document here in this discourse group, so I am hoping that editing of the paper itself can be done just with DMS. We’ll see how that goes, and if other options, such as Overleaf, are better, then we can do that instead.

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Great idea. Go for it!

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thanks, good idea.

If you want apply academic standards, my contribution does not justify authorship. So unless there are contributions from my side when putting the paper together, I would prefer to be mentioned in acknowledgments instead of being an author.

If you want to use overleaf, feel free to reach out. I have a paid subscription which allows to share with a large number of contributors.

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I expect the contents of the paper to have high academic standards, but we’re not getting paid for this, it is just for fun, so I think the author list can be as inclusive as we want. Thanks for the Overleaf offer, that might be the way to go. Let’s wait to see about that. I’ll wait a couple more days for the potential authors to see/respond this post, and then I’ll put the draft of the paper here and we can decide what to do at that time.

BTW, the DMS I was referring to is the direct messaging capability of this discourse forum. If you click on the three horizontal bars in the upper right, you will see a drop down menu, and there is a “My Messages” item and a DMS item. I’m not sure how those are related to each other, but I have exchanged messages through both in the past with people here.

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I had planned to upload the pdf version of the initial draft here. However I just realized that pdf files cannot be uploaded, so some other approach is going to be necessary.

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You can simply use a Github project for this: store the tex and the pdf files.

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This is just an update on this project. Since we cannot directly post pdf files here in this discourse, another approach is necessary. @MarDie has volunteered to set up an Overleaf project that we can use to edit the latex document. I have uploaded an initial draft which includes the above initial author list. Anyone who wants to contribute to this project is welcome to join as an author. You will need to send your email address to @MarDie so that he can add your access to the Overleaf project. I think a group chat can be set up (either in Overleaf or here in the Discourse) where we can freely discuss document and/or code changes without cluttering this Tutorial thread. I’m unsure exactly how to do that, but hopefully someone here knows the answer to that and we can find a workable solution.

I think at this point the goal is to first edit the shared manuscript in Overleaf. Next, post the final PDF file somewhere that is publicly and permanently accessible. Then we can post a link here in this Tutorial thread to that document. I will also include the fortran code (there are currently three separate programs) here in this Tutorial thread. That will make both the code and the description accessible here to anyone who might be interested. Finally after the Tutorial posts are complete, there is also the possibility of eventually posting the same information to the RosettaCode site, and either add to or replace the fortran codes that are there now.

Here are the current versions of the three fortran codes that are described in the latex/pdf document. I will upload them here to make it easy to view, download, compile, etc.
euler0.F90 (1.1 KB)
euler1.F90 (2.6 KB)
euler2.F90 (13.1 KB)

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I have been reading the manuscript (some textual suggestions, I can add them on Overleaf), but I would also like to suggest some substantial additions. Where can we discuss them? In this thread? Whether they are suitable for this tutorial depends on its scope, so that in itself is worth some discussion, I guess.