Fonctions multiplicatives et équations différentielles

Jean-Paul Bézivin

Bulletin de la Société Mathématique de France (1995)

  • Volume: 123, Issue: 3, page 329-349
  • ISSN: 0037-9484

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Bézivin, Jean-Paul. "Fonctions multiplicatives et équations différentielles." Bulletin de la Société Mathématique de France 123.3 (1995): 329-349. <http://eudml.org/doc/87720>.

@article{Bézivin1995,
author = {Bézivin, Jean-Paul},
journal = {Bulletin de la Société Mathématique de France},
keywords = {linear recursion formula; differential equation; multiplicative function},
language = {fre},
number = {3},
pages = {329-349},
publisher = {Société mathématique de France},
title = {Fonctions multiplicatives et équations différentielles},
url = {http://eudml.org/doc/87720},
volume = {123},
year = {1995},
}

TY - JOUR
AU - Bézivin, Jean-Paul
TI - Fonctions multiplicatives et équations différentielles
JO - Bulletin de la Société Mathématique de France
PY - 1995
PB - Société mathématique de France
VL - 123
IS - 3
SP - 329
EP - 349
LA - fre
KW - linear recursion formula; differential equation; multiplicative function
UR - http://eudml.org/doc/87720
ER -

References

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  2. [BE1] BEZIVIN (J.-P.). — Une généralisation du théorème de Skolem-Mahler-Lech, Quart. J. Math. Oxford Ser.(2), t. 40, 1989, p. 133-138. Zbl0678.10040MR90g:11021
  3. [BE2] BEZIVIN (J.-P.). — Sur un théorème de Polya, J. reine Angew. Math., t. 364, 1986, p. 60-68. Zbl0569.10004MR87f:11053
  4. [BI] BIEBERBACH (L.). — Analytische Forsetzung. — Springer Verlag, Berlin, 1955. 
  5. [EL] ELLIOT (P.D.T.A.). — A mean value theorem for multiplicative functions, Proc. London Math. Soc., t. 31, 1975, p. 418-438. Zbl0319.10055MR52 #8063
  6. [HEMA] HEPPNER (R.) and MAXSEIN (T.). — Potenzreihen mit multiplicativen Koeffizienten, Analysis, t. 5, 1985, p. 87-95. Zbl0563.10005
  7. [JU] JUNGEN (R.). — Sur les séries de Taylor n'ayant que des singularités algébrico-logarithmiques sur leur cercle de convergence, Comment. Math. Helv., t. 3, 1940, p. 266-306. Zbl0003.11901JFM57.0373.03
  8. [KA1] KATAI (I.). — Characterization of arithmetical functions, problems and results, Proc. International Conference on Number Theory, Université Laval, 1987, De Koninck, C. Levesque eds., De Gruyter 1989, p. 544-555. Zbl0683.10040MR91d:11004
  9. [KA2] KATAI (I.). — Arithmetical functions satisfying some relations, Acta Math. Sci., t. 55, 1991, p. 249-268. Zbl0756.11025MR93f:11006
  10. [KAN] KANOLD (H.J.). — Ueber periodische multiplicative Zahlentheorische Funktionen, Math. Ann., t. 144, 1961, p. 135-141. Zbl0096.26003MR25 #41
  11. [LU] LUCHT (L.). — Exposé au journées arithmétiques de Bordeaux, septembre 1993. 
  12. [LUTU] LUCHT (L.) and TUTTAS (F.). — Mean values of multiplicative functions and natural boundaries of power series with multiplicative coefficients, J. London Math. Soc. (2), t. 19, 1979, p. 25-34. Zbl0387.10027MR80d:10067
  13. [RA] RAMIS (J.-P.). — Théorèmes d'indices Gevrey pour les équations différentielles ordinaires, Mem. Amer. Math. Soc., t. 48, 296, p. 1984. Zbl0555.47020MR86e:34021
  14. [RU] RUBEL (L.). — Some research problems about differential equations, Trans. Amer. Math. Soc., t. 280, 1983, p. 43-52. Zbl0532.34009MR84j:34005
  15. [SA] SARKOZY (A.). — On multiplicative arithmetic functions satisfying a linear recursion, Studia Sci. Math. Hungar., t. 13, 1978, p. 79-104. Zbl0481.10001MR83e:10062
  16. [TS] TSUJI (M.). — On a power series which has only algebraic singularities on its convergence circle, J. Math. Soc. Japan, t. 3, 1926, p. 69-85. Zbl52.0294.04JFM52.0294.04

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