@article{AIF_1993__43_4_1179_0, author = {Amoroso, Francesco}, title = {$f$- transfinite diameter and number theoretic applications}, journal = {Annales de l'Institut Fourier}, pages = {1179--1198}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {43}, number = {4}, year = {1993}, doi = {10.5802/aif.1368}, zbl = {0790.41007}, mrnumber = {95d:11091}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1368/} }
TY - JOUR AU - Amoroso, Francesco TI - $f$- transfinite diameter and number theoretic applications JO - Annales de l'Institut Fourier PY - 1993 SP - 1179 EP - 1198 VL - 43 IS - 4 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1368/ DO - 10.5802/aif.1368 LA - en ID - AIF_1993__43_4_1179_0 ER -
%0 Journal Article %A Amoroso, Francesco %T $f$- transfinite diameter and number theoretic applications %J Annales de l'Institut Fourier %D 1993 %P 1179-1198 %V 43 %N 4 %I Institut Fourier %C Grenoble %U https://aif.centre-mersenne.org/articles/10.5802/aif.1368/ %R 10.5802/aif.1368 %G en %F AIF_1993__43_4_1179_0
Amoroso, Francesco. $f$- transfinite diameter and number theoretic applications. Annales de l'Institut Fourier, Volume 43 (1993) no. 4, pp. 1179-1198. doi : 10.5802/aif.1368. https://aif.centre-mersenne.org/articles/10.5802/aif.1368/
[A] Sur le diamètre transfini entier d'un intervalle réel, Ann. Inst. Fourier, 40-4 (1990), 885-911. | Numdam | MR | Zbl
,[AR] Legendre polynomials and irrationality, J. reine angew. Math., 318 (1980), 137-155. | MR | Zbl
and ,[C] Number Theoretic Applications of Polynomials with Rational Coefficients Defined by Extremality Conditions, Arithmetic and Geometry, Vol I, ed. M.Artin and J.Tate, Birkhäuser. Progress in Math., 35 (1983), 61-105. | MR | Zbl
,[DV] Some remarks on Beukers'integrals, Colloquia Math. Soc. János Bolyai, 51 (1987), 637-657. | MR | Zbl
and ,[FE] Über die Verteilung der Wurzeln gewisen algebraischen Gleichungen mit ganzzahligen Koeffzienten, Mathematische Zeitschrift, 17 (1923), 228-249. | JFM
,[FU] On the theory of potentials in locally compact spaces, Acta Math., 103 (1960), 139-215. | MR | Zbl
,[HA] Legendre type polynomials and irrationality measures, J. reine angew. Math., 407 (1990), 99-125. | MR | Zbl
,[HI] Analytic function theory, Gim and Company, Boston, 1962. | MR | Zbl
,[L] Foundations of modern potential theory, Springer-Verlag, Berlin, 1972. | MR | Zbl
,[M] Singular integral equations, Noordhoff Internationals Publishing, Leyden, 1977.
,[N] A new method in elementary prime number theory, J. London Math. Soc., (2), 25 (1982), 385-391. | MR | Zbl
,[RH1] Approximants de Padé et mesures effectives d'irrationalité, Séminaire de Théorie des Nombres, Paris 1985-1986, ed. C. Goldstein, Birkhäuser, Progress in Math., 71 (1987), 155-164. | MR | Zbl
,[RH2] Diamètre transfini et mesures d'irrationalité des logarithmes, notes of lectures given at the University of Pise in March 1989.
,[RU] A lower bound for the approximation of ln 2 by rational numbers (Russian), Vestnik Moskov. Univ., Ser. I Math. Mekh., no. 6 (1987), 25-29. | MR | Zbl
,[S] Function with integral parameters, deviating the last from zero (en russe), Leningrad. Gos. Univ., Ucen. Zap. Ser. Mat. Nauk, 111 (1949), 32-46.
,[SZ] Orthogonal Polynomials, 4th ed., American Math. Soc., New York, 1975.
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