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Encouraged by Does anyone have an electronic copy of Waldspurger's "Sur les coefficients de Fourier des formes modulaires de poids demi-entier"? I realized I could ask for this rare item here.

Again, it is Yury G. Teterin's 1984 (Russian) preprint "Representation of numbers by spinor genera." For whatever reason (possibly length?) it never made it into the usual Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR.

Let me give some detail. I do not know the number of pages. The preprint probably never appeared elsewhere, at least not under the same title. It was probably never translated into English. No American mathematics library admits to having it. The easiest place to find mention of the preprint is in Math Reviews MR0732548 (86d:11042) which is a review, by Oleg M. Fomenko, of Schulze-Pillot's 1984 "Thetareihen positiv definiter quadratischer Formen." (I do not know how to make the MR reference a link).

The preprint is mentioned in a later related item by the same author that has been translated, see

http://www.springerlink.com/content/t701481j73531761/

as well as one by Elena P. Golubeva

http://www.springerlink.com/content/w740g82624753417/

Finally, I have emailed Teterin with no result so far. If nothing happens for a long time I could write to O. M. Fomenko and see what happens. The three people in St. Petersburg that I have mentioned are

http://www.mathnet.ru/php/person.phtml?option_lang=eng&personid=25046

http://www.mathnet.ru/php/person.phtml?option_lang=eng&personid=22736

http://www.mathnet.ru/php/person.phtml?option_lang=eng&personid=33524

Well, thanks for any assistance. Individual replies are always welcome, one of my email addresses can be found through http://www.ams.org/cml

EDIT, May 2021: the pdf is on one of my websites

KAP

direct link TETERIN

Let me point out that there are the strongly related Golubeva_Fomenko_1984.pdf in English translation, as well as Schulze_Pillot_1984_Darstellungsmasse.pdf and Schulze_Pillot_1984_Thetareihen.pdf in these cases still in German. Also Math Reviews of most of the papers for which I lack a translation into English.

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  • $\begingroup$ To make a link from MR number, click on “Make Link” under the title. For example: ams.org/mathscinet-getitem?mr=732548 Of course, you can simply append ams.org/mathscinet-getitem?mr= in front of the MR number. $\endgroup$
    – Dmitri Pavlov
    Commented Apr 25, 2010 at 1:13
  • $\begingroup$ Thanks for the idea. I don't think it worked the way I did it, but then I just know Latex in its original context and I need to push (Re)process math for any MO item I look at. But I see your link works. $\endgroup$
    – Will Jagy
    Commented Apr 25, 2010 at 2:25
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    $\begingroup$ When you obtain an electronic version of a paper that is not readily available for download to everybody, it is usually a good idea to post it on your web page so that other mathematicians can get it more easily in the future. At least this is what I do with the papers that I scan: math.berkeley.edu/~pavlov/scans $\endgroup$
    – Dmitri Pavlov
    Commented May 12, 2010 at 5:30
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    $\begingroup$ The URL zakuski.math.utsa.edu/~kap/forms.html is no longer working. $\endgroup$
    – KConrad
    Commented May 21, 2021 at 21:44
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    $\begingroup$ Okay, I see now that the first reference in the bibliography of the paper I linked to is the 1984 paper you were seeking (correct title and year, nothing about translated lattices) $\endgroup$
    – KConrad
    Commented May 22, 2021 at 2:04

2 Answers 2

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Yura Teterin left mathematics and POMI but may be he is reading his POMI e-mail http://www.pdmi.ras.ru/~yuri/ also one can try to ask for a scan at POMI editorial dept (Vera Simonova [email protected]) or at the library [email protected]

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  • $\begingroup$ Thank you, Nikolai. Given your news, the editorial department is the logical next step, and thank you for the contact information. I am also encouraged by seeing POMI preprints online, some not very long at all, in ps.gz format, one of yours in 2006 in both an English summary and Russian original, at pdmi.ras.ru/preprint/index.html $\endgroup$
    – Will Jagy
    Commented Apr 25, 2010 at 18:47
  • $\begingroup$ I will look tomorrow. $\endgroup$
    – Nikolai Mnev
    Commented Apr 25, 2010 at 22:04
  • $\begingroup$ Dear Kolya, I got the preprint and sent you a reply. The article looks really good! At this point you may want to delete the comment above that shows one of your email addresses. I have never had any trouble, but there are supposedly automated programs called "bots" that search for such things. So I make it very easy for a real person to find my email address by searching in ams.org/cml (and I put that in my Math Overflow "profile" for anyone to see), but I do not usually leave that address visible for very long. $\endgroup$
    – Will Jagy
    Commented Apr 26, 2010 at 20:14
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    $\begingroup$ I am taking the point of view that all my addresses are already cached by all bots:) $\endgroup$
    – Nikolai Mnev
    Commented Apr 26, 2010 at 20:24
  • $\begingroup$ You are a wise man. I am humbled by your presence. $\endgroup$
    – Will Jagy
    Commented Apr 26, 2010 at 20:30
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I think you can try to call to the library of PDMI. Most libraries copy materials and mail it to you for a reward.

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