f - transfinite diameter and number theoretic applications

Francesco Amoroso

Annales de l'institut Fourier (1993)

  • Volume: 43, Issue: 4, page 1179-1198
  • ISSN: 0373-0956

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Amoroso, Francesco. "$f$- transfinite diameter and number theoretic applications." Annales de l'institut Fourier 43.4 (1993): 1179-1198. <http://eudml.org/doc/75029>.

@article{Amoroso1993,
author = {Amoroso, Francesco},
journal = {Annales de l'institut Fourier},
keywords = {transfinite diameter; weight function; irrationality measures of logarithmis},
language = {eng},
number = {4},
pages = {1179-1198},
publisher = {Association des Annales de l'Institut Fourier},
title = {$f$- transfinite diameter and number theoretic applications},
url = {http://eudml.org/doc/75029},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Amoroso, Francesco
TI - $f$- transfinite diameter and number theoretic applications
JO - Annales de l'institut Fourier
PY - 1993
PB - Association des Annales de l'Institut Fourier
VL - 43
IS - 4
SP - 1179
EP - 1198
LA - eng
KW - transfinite diameter; weight function; irrationality measures of logarithmis
UR - http://eudml.org/doc/75029
ER -

References

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  1. [A] F. AMOROSO, Sur le diamètre transfini entier d'un intervalle réel, Ann. Inst. Fourier, 40-4 (1990), 885-911. Zbl0713.41004MR92j:11070
  2. [AR] K. ALLADI and L. ROBINSON, Legendre polynomials and irrationality, J. reine angew. Math., 318 (1980), 137-155. Zbl0425.10039MR81i:10036
  3. [C] G.V. CHUDNOVSKY, 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. Zbl0547.10029MR86c:11052
  4. [DV] R. DVORNICICH and C. VIOLA, Some remarks on Beukers'integrals, Colloquia Math. Soc. János Bolyai, 51 (1987), 637-657. Zbl0755.11019MR91f:11050
  5. [FE] M. FEKETE, Über die Verteilung der Wurzeln gewisen algebraischen Gleichungen mit ganzzahligen Koeffzienten, Mathematische Zeitschrift, 17 (1923), 228-249. JFM49.0047.01
  6. [FU] B. FUGLEDE, On the theory of potentials in locally compact spaces, Acta Math., 103 (1960), 139-215. Zbl0115.31901MR22 #8232
  7. [HA] M. HATA, Legendre type polynomials and irrationality measures, J. reine angew. Math., 407 (1990), 99-125. Zbl0692.10034MR91i:11081
  8. [HI] E. HILLE, Analytic function theory, Gim and Company, Boston, 1962. Zbl0102.29401MR34 #1490
  9. [L] N.S. LANDKOF, Foundations of modern potential theory, Springer-Verlag, Berlin, 1972. Zbl0253.31001MR50 #2520
  10. [M] N.I. MUSKHELISHVLI, Singular integral equations, Noordhoff Internationals Publishing, Leyden, 1977. 
  11. [N] M. NAIR, A new method in elementary prime number theory, J. London Math. Soc., (2), 25 (1982), 385-391. Zbl0453.10008MR83j:10051
  12. [RH1] G. RHIN, 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. Zbl0632.10034MR90k:11089
  13. [RH2] G. RHIN, Diamètre transfini et mesures d'irrationalité des logarithmes, notes of lectures given at the University of Pise in March 1989. 
  14. [RU] E.A. RUKHADZE, 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. Zbl0635.10025MR89b:11064
  15. [S] I.N. SANOV, Function with integral parameters, deviating the last from zero (en russe), Leningrad. Gos. Univ., Ucen. Zap. Ser. Mat. Nauk, 111 (1949), 32-46. 
  16. [SZ] G. SZEGÖ, Orthogonal Polynomials, 4th ed., American Math. Soc., New York, 1975. 

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