Polylogarithms and arithmetic function spaces

Lutz G. Lucht; Anke Schmalmack

Acta Arithmetica (2000)

  • Volume: 95, Issue: 4, page 361-382
  • ISSN: 0065-1036

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Lutz G. Lucht, and Anke Schmalmack. "Polylogarithms and arithmetic function spaces." Acta Arithmetica 95.4 (2000): 361-382. <http://eudml.org/doc/207455>.

@article{LutzG2000,
author = {Lutz G. Lucht, Anke Schmalmack},
journal = {Acta Arithmetica},
language = {eng},
number = {4},
pages = {361-382},
title = {Polylogarithms and arithmetic function spaces},
url = {http://eudml.org/doc/207455},
volume = {95},
year = {2000},
}

TY - JOUR
AU - Lutz G. Lucht
AU - Anke Schmalmack
TI - Polylogarithms and arithmetic function spaces
JO - Acta Arithmetica
PY - 2000
VL - 95
IS - 4
SP - 361
EP - 382
LA - eng
UR - http://eudml.org/doc/207455
ER -

References

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  1. [1] L. Bieberbach, Analytische Fortsetzung, Springer, Berlin, 1955. 
  2. [2] A. Jonquière, Note sur le série x n / n s , Bull. Soc. Math. France 17 (1889), 142-152. Zbl21.0246.02
  3. [3] D. S. Kubert, The universal ordinary distribution, ibid. 107 (1979), 179-202. Zbl0409.12021
  4. [4] L. Lewin, Structural Properties of Polylogarithms, Math. Surveys Monographs 37, Amer. Math. Soc., Providence, 1991. Zbl0745.33009
  5. [5] L. G. Lucht, Power series with multiplicative coefficients, Math. Z. 177 (1981), 359-374. Zbl0439.10031
  6. [6] L. G. Lucht and C. Methfessel, Recurrent sequences and affine functional equations, J. Number Theory 57 (1996), 105-113. Zbl0863.11008
  7. [7] L. G. Lucht and F. Tuttas, Mean values of multiplicative functions and natural boundaries of power series with multiplicative coefficients, J. London Math. Soc. 19 (1979), 25-34. Zbl0387.10027
  8. [8] J. Milnor, On polylogarithms, Hurwitz zeta functions, and the Kubert identities, Enseign. Math. 29 (1983), 281-322. Zbl0557.10031
  9. [9] A. J. van der Poorten, Some facts that should be better known, especially about rational functions, in: Number Theory and Applications (Banff, 1988), R. A. Mollin (ed.), Kluwer, 1989, 497-528. 
  10. [10] A. Schmalmack, Arithmetische Funktionen und holomorph fortsetzbare Potenzreihen, Dissertation, TU Clausthal, 1999. 
  11. [11] W. Schwarz, Fourier-Ramanujan-Entwicklungen zahlentheoretischer Funktionen und Anwendungen, Festschrift Wiss. Ges. Univ. Frankfurt, Franz Steiner Verlag, Wiesbaden, 1981, 399-415. Zbl0459.10034
  12. [12] W. Schwarz and J. Spilker, Arithmetical Functions, London Math. Soc. Lecture Note Ser. 184, Cambridge Univ. Press, Cambridge, 1994. Zbl0807.11001
  13. [13] E. Seneta, Regularly Varying Functions, Lecture Notes in Math. 508, Springer, Berlin, 1976. Zbl0324.26002

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