The asymptotic behaviour of additive functions in algebraic number theory

J. P. M. de Kroon

Compositio Mathematica (1965-1966)

  • Volume: 17, page 207-261
  • ISSN: 0010-437X

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de Kroon, J. P. M.. "The asymptotic behaviour of additive functions in algebraic number theory." Compositio Mathematica 17 (1965-1966): 207-261. <http://eudml.org/doc/88918>.

@article{deKroon1965-1966,
author = {de Kroon, J. P. M.},
journal = {Compositio Mathematica},
keywords = {number theory},
language = {eng},
pages = {207-261},
publisher = {Kraus Reprint},
title = {The asymptotic behaviour of additive functions in algebraic number theory},
url = {http://eudml.org/doc/88918},
volume = {17},
year = {1965-1966},
}

TY - JOUR
AU - de Kroon, J. P. M.
TI - The asymptotic behaviour of additive functions in algebraic number theory
JO - Compositio Mathematica
PY - 1965-1966
PB - Kraus Reprint
VL - 17
SP - 207
EP - 261
LA - eng
KW - number theory
UR - http://eudml.org/doc/88918
ER -

References

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  2. De Bruijn, N.G. [2] On the number of uncancelled elements in the sieve of Eratosthenes, Proc. Ned. Akad. Wetensch.52 (1950) 803-812; Indagationes Mathematicae, Vol. XII (1950) 247-256. Zbl0037.03001MR35785
  3. Buchstab, A.A. [3] On those numbers in an arithmetic progression all prime factors of which are small in magnitude, Doklady Akad. Nauk. SSSR (N.S.) 67 (1949) 5-8. Zbl0033.16304MR30995
  4. Cramèr, H. [4] Mathematical methods of Statistics, Princeton (1958). 
  5. Dedekind, R. [5] Über den Zusammenhang zwischen der Theorie der Ideale und der Theorie der höheren Congruenzen, Gesammelte mathematische Werke, Erster Band (1930) 202-232. 
  6. Delange, H. [6] Sur le nombre des diviseurs premiers de n, Acta Arithmetica7 (1962) 191-215. Zbl0105.26602MR136588
  7. Erdös, P. and Kac, M.[7] The Gaussian law of errors in the theory of additive numbertheoretic functions, Am. J. of Math.s, vol. 62 (1940) 738-742. Zbl0024.10203MR2374JFM66.0172.02
  8. Halberstam, H. [8] On the distribution of additive numbertheoretic functions II and III, J. London Math. Soc. vol.31 (1956) 1-27. Zbl0071.04203MR73626
  9. Kubilyus, I.P. [9] Probabilistic methods in the theory of numbers, Amer. Math. Soc. Transl.19 (1962) 47-85. Zbl0122.29701MR131415
  10. Landau, E. [10] Einführung in die elementare und analytische Theorie der algebraischen Zahlen und der Ideale, Zweite Auflage, New York (1949). MR31002
  11. [11] Über die zu einem algebraischen Zahlkörper gehörige Zetafunktion und die Ausdehnung der Tschebyschefschen Primzahlentheorie auf den Problem der Verteilung der Primideale. J. reine und angew. Math.125 (1903) 64-188. JFM33.0215.01
  12. Lang, S. [12] Algebraic number theory, Reading, Mass., Palo Alto, London (1964). 
  13. Rademacher, H. [13] Über die Anwendung der Viggo Brunschen Methode, Sitzungsberichte der preussischen Akademie von Wissenschaften (1923) 211-218. Zbl49.0129.01JFM49.0129.01
  14. Renyi, A. and Turan, P. [14] On a theorem of Erdös-Kac, Acta Arithmetica4 (1958) 71-84. Zbl0083.26401MR96629
  15. Rieger, G.J. [15] Über die Anzahl der Primfaktoren algebraischer Zahlen und das Gauszsche Fehlergesetz, Math. Nachr.24 (1962) 77-89. Zbl0286.12002MR144873
  16. [16] Verallgemeinerung der Siebmethode von A. Selberg auf algebraische Zahlkörper III, J. reine und angew. Math.208 (1961) 79-90. Zbl0103.02703MR159808
  17. Uspensky, J. [17] Introduction to mathematical probability, New York, London (1937). Zbl63.1069.01JFM63.1069.01

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