On distribution of arithmetical functions on the set prime plus one

I. Kátai

Compositio Mathematica (1968)

  • Volume: 19, Issue: 4, page 278-289
  • ISSN: 0010-437X

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Kátai, I.. "On distribution of arithmetical functions on the set prime plus one." Compositio Mathematica 19.4 (1968): 278-289. <http://eudml.org/doc/88965>.

@article{Kátai1968,
author = {Kátai, I.},
journal = {Compositio Mathematica},
keywords = {distribution of arithmetical functions; the set prime plus one},
language = {eng},
number = {4},
pages = {278-289},
publisher = {Wolters-Noordhoff Publishing},
title = {On distribution of arithmetical functions on the set prime plus one},
url = {http://eudml.org/doc/88965},
volume = {19},
year = {1968},
}

TY - JOUR
AU - Kátai, I.
TI - On distribution of arithmetical functions on the set prime plus one
JO - Compositio Mathematica
PY - 1968
PB - Wolters-Noordhoff Publishing
VL - 19
IS - 4
SP - 278
EP - 289
LA - eng
KW - distribution of arithmetical functions; the set prime plus one
UR - http://eudml.org/doc/88965
ER -

References

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  1. P. Erdös, [1] On the density of some sequences of numbers, III. J. London Math. Soc.13 (1938), 119—127. Zbl0018.29301JFM64.0135.03
  2. H. Delange, [2] Un theorème sur les fonctions arithmétiques multiplicatives et ses applications, Ann. Sci. Ecole Norm. Sup.78 (1961), 1-29. Zbl0109.03106MR169828
  3. A. Rényi, [3] On the distribution of values of additive number-theoretical functions, Publ. Math. Debrecen10 (1963), 264—273. Zbl0132.28504
  4. H. Delange, [4] Sur les fonctions arithmétiques multiplicatives, Ann. Sci. Ecole Norm. Sup.78 (1961), 273—304. Zbl0234.10043
  5. A. Rényi, [5] A new proof of a theorem of Delange, Publ. Math. Debrecen, 12 (1965), 323—329. Zbl0139.27003
  6. K. Prachar, [6] Primzahlverteilung, Springer Verlag1957. Zbl0080.25901MR87685
  7. E. Bombieri, [7] On the large sieve, Mathematika, 12 (1965), 201-225. Zbl0136.33004MR197425
  8. P. Levy, [8] Studia Mathematica, 36 (1931), p. 150. 
  9. J.P. Kubilius, [9] Probabilistic methods in number theory, Vilnius, 1962 (in Russian). Zbl0127.27402
  10. M.B. Barban, [10] Arithmetical functions on "thin" sets, Trudi inst. math. im. V. I. Romanovskovo, Teor. ver. i math. stat. vüp 22, Taskent, 1961 (in Russian). 
  11. M.B. Barban, A.I. Vinogradov, and B.V. Levin, [11] Limit laws for arithmetic functions of J. P. Kubilius class H, defined on the set of "shiffed" primes, Litovsky Math. Sb.5 (1965), 1—8 (in Russian). Zbl0146.05204

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