The average orders of Hooley’s Δ r -functions, II

R. R. Hall; G. Tenenbaum

Compositio Mathematica (1986)

  • Volume: 60, Issue: 2, page 163-186
  • ISSN: 0010-437X

How to cite


Hall, R. R., and Tenenbaum, G.. "The average orders of Hooley’s $\Delta _r$-functions, II." Compositio Mathematica 60.2 (1986): 163-186. <>.

author = {Hall, R. R., Tenenbaum, G.},
journal = {Compositio Mathematica},
keywords = {Hooley delta-function; average orders},
language = {eng},
number = {2},
pages = {163-186},
publisher = {Martinus Nijhoff Publishers},
title = {The average orders of Hooley’s $\Delta _r$-functions, II},
url = {},
volume = {60},
year = {1986},

AU - Hall, R. R.
AU - Tenenbaum, G.
TI - The average orders of Hooley’s $\Delta _r$-functions, II
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 60
IS - 2
SP - 163
EP - 186
LA - eng
KW - Hooley delta-function; average orders
UR -
ER -


  1. [1] P. Erdös and R.R. Hall: The propinquity of divisors. Bull. London Math. Soc., 11 (1979) 304-307. Zbl0421.10027MR554398
  2. [2] R.R. Hall: The propinquity of divisors. J. London Math. Soc. (2) 19 (1979) 35-40. Zbl0407.10036MR527732
  3. [3] R.R. Hall: Hooley's Δr-functions when r is large. Michigan Math. Journal (to appear). Zbl0591.10039
  4. [4] R.R. Hall and G. Tenenbaum: On the average and normal orders of Hooley's Δ-function. J. London Math. Soc. (2) 25 (1982) 392-406. Zbl0489.10046
  5. [5] R.R. Hall and G. Tenenbaum: The average orders of Hooley's Δ r-functions. Mathematika31 (1984) 98-109. Zbl0552.10027
  6. [6] C. Hooley: On a new technique and its applications to the theory of numbers. P. London Math. Soc. (3) 38 (1979) 115-151. Zbl0394.10027MR520975
  7. [7] H. Maier and G. Tenenbaum: On the set of divisors of an integer. Invent. Math.76 (1984) 121-128. Zbl0536.10039MR739628
  8. [8] H. Maier and G. Tenenbaum: On the normal concentration of divisors. J. London Math. Soc. (to appear). Zbl0576.10034
  9. [9] G. Tenenbaum: Sur la concentration moyenne des diviseurs. Comment. Math. Helvitici (to appear). Zbl0581.10020MR814148

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