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@article{FPM_2010_16_6_a10, author = {E. S. Salnikova}, title = {Approximations of some logarithms by numbers from the fields~$\mathbb Q$ and $\mathbb Q(\sqrt d)$}, journal = {Fundamentalʹna\^a i prikladna\^a matematika}, pages = {139--155}, publisher = {mathdoc}, volume = {16}, number = {6}, year = {2010}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_6_a10/} }
TY - JOUR AU - E. S. Salnikova TI - Approximations of some logarithms by numbers from the fields~$\mathbb Q$ and $\mathbb Q(\sqrt d)$ JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2010 SP - 139 EP - 155 VL - 16 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2010_16_6_a10/ LA - ru ID - FPM_2010_16_6_a10 ER -
%0 Journal Article %A E. S. Salnikova %T Approximations of some logarithms by numbers from the fields~$\mathbb Q$ and $\mathbb Q(\sqrt d)$ %J Fundamentalʹnaâ i prikladnaâ matematika %D 2010 %P 139-155 %V 16 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2010_16_6_a10/ %G ru %F FPM_2010_16_6_a10
E. S. Salnikova. Approximations of some logarithms by numbers from the fields~$\mathbb Q$ and $\mathbb Q(\sqrt d)$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 6, pp. 139-155. http://geodesic.mathdoc.fr/item/FPM_2010_16_6_a10/
[1] Zudilin V. V., “Esse o merakh irratsionalnosti $\pi$ i drugikh logarifmov”, Chebyshëvskii sb., 5:2 (2004), 49–65 | MR | Zbl
[2] Rukhadze E. A., “Otsenka snizu priblizheniya $\ln2$ ratsionalnymi chislami”, Vestn. Mosk. un-ta. Ser. 1. Matematika, mekhanika, 1987, no. 6, 25–29 | MR | Zbl
[3] Salikhov V.+Kh., “O mere irratsionalnosti $\log3$”, Dokl. RAN, 417:6 (2007), 753–755 | MR | Zbl
[4] Salikhov V. Kh., Salnikova E. S., “Diofantovy priblizheniya logarifma ‘zolotogo secheniya’ ”, Vestnik BGTU, 2007, no. 1, 111–119
[5] Salnikova E. S., “Otsenka snizu priblizheniya $\log2$ kvadratichnymi irratsionalnostyami”, Vestnik BGTU, 2007, no. 2, 109–114
[6] Salnikova E. S., “Diofantovy priblizheniya $\log2$ i drugikh logarifmov”, Mat. zametki, 83:3 (2008), 428–438 | DOI | MR | Zbl
[7] Tomashevskaya E. B., “O diofantovykh priblizheniyakh znachenii funktsii $\log x$”, Fundament. i prikl. mat., 16:6 (2010), 157–166 | MR
[8] Amoroso F., Viola C., “Approximation measures for logarithms of algebraic numbers”, Ann. Scu. Norm. Sup. Pisa Cl. Sci., 30 (2001), 225–249 | MR | Zbl
[9] Hata M., “Legendre type polynomials and irrationality measures”, J. Reine Angew. Math., 407:1 (1990), 99–125 | DOI | MR | Zbl
[10] Hata M., “Irrationality measures of the values of hypergeometric functions”, Acta Arith., 60 (1992), 335–347 | MR | Zbl
[11] Hata M., “Rational approximations to $\pi$ and some other numbers”, Acta Arith., 63:4 (1993), 335–349 | MR | Zbl
[12] Heimonen A., Matala-aho T., Väänänen K., “On irrationality measures of the values of Gauss hypergeometric function”, Manuscripta Math., 81:1 (1993), 183–202 | DOI | MR | Zbl
[13] Heimonen A., Matala-aho T., Väänänen K., “An application of Jacobi type polynomials to irrationality measures”, Bull. Austral. Math. Soc., 50:2 (1994), 225–243 | DOI | MR | Zbl
[14] Huttner M., “Irrationalité de certaines intégrales hypergéométriques”, J. Number Theory, 26 (1987), 166–178 | DOI | MR | Zbl
[15] Rhin G., “Approximants de Padé et mesures effectives d'irrationalité”, Séminaire de Théorie des Nombres (Paris 1985–86), Progress Math., 71, Birkhäuser, 1987, 155–164 | DOI | MR
[16] Wu Q., “On the linear independence measure of logarithms of rational numbers”, Math. Comp., 72:242 (2002), 901–911 | DOI | MR