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My university has a subscription at IOPSciences I am interesting in this article: Galochkin A.I. (1984): On estimates, unimprovable with respect to height, of some linear forms. Mat. Sb. 124 (166), 416-430. English transl.: Math. USSR, Sb. 52, 407-419.

So I went to IOPsciences site to download it (the english version !!) But it looks like IOPSciences did a mistake about this journal. This article does not exist in their data base. Can anyone manage to download this article.

I wrote to IOPSciences but I received no answer.

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    $\begingroup$ there is no english translation available online, but the russian original can be downloaded from mathnet.ru/php/… -- you might just feed this to an online translator... $\endgroup$
    – Carlo Beenakker
    Commented Jan 11, 2022 at 18:03
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    $\begingroup$ I agree with Carlo. MathSciNet does not list a translation for that paper, and usually their listings are complete. @CarloBeenakker ... last time I tried an online translator for a technical math paper, the results were not good. Admittedly, that was some years ago. $\endgroup$
    – Gerald Edgar
    Commented Jan 11, 2022 at 18:07
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    $\begingroup$ I also agree with @CarloBeenakker: even the Turpion service redirects to the IOP one, so there's no hope to get it from these standard sources. $\endgroup$
    – Daniele Tampieri
    Commented Jan 11, 2022 at 18:10

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I'm pretty sure a machine translation of the paper from russian into english will be sufficient. For starters, I fed two paragraphs on pages 417-418 to https://deepl.com, with the following output (unedited, the only changes I made were to LaTeX the symbols):

The top and bottom estimates in Korobov's paper, as well as in the present paper, differed by a constant. Apparently, there are no other nontrivial examples of systems consisting of more than two numbers for linear forms from which the top and bottom estimates would be so close to each other. For linear forms (8), except for the case discussed in [5], the top estimates of only $C_2H^{-s}$ were known. These estimates are derived by means of the Dirichlet principle and do not take into account the specificity of function (1).

The method of proving the theorem will be partially based on the effective construction of the system of linear approximation forms [3]. However, here the system of approximating forms will be $s$ times more "dense," and compared to previous works, the process of exclusion will be changed.

The method applied allows us to effectively find all primitive forms for which (10) holds for $H>H_0(C_2,a,b,\lambda_1,\ldots,\lambda_s)$.

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