# The average orders of Hooley’s ${\Delta}_{r}$-functions, II

Compositio Mathematica (1986)

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

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topHall, R. R., and Tenenbaum, G.. "The average orders of Hooley’s $\Delta _r$-functions, II." Compositio Mathematica 60.2 (1986): 163-186. <http://eudml.org/doc/89803>.

@article{Hall1986,

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 = {http://eudml.org/doc/89803},

volume = {60},

year = {1986},

}

TY - JOUR

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 - http://eudml.org/doc/89803

ER -

## References

top- [1] P. Erdös and R.R. Hall: The propinquity of divisors. Bull. London Math. Soc., 11 (1979) 304-307. Zbl0421.10027MR554398
- [2] R.R. Hall: The propinquity of divisors. J. London Math. Soc. (2) 19 (1979) 35-40. Zbl0407.10036MR527732
- [3] R.R. Hall: Hooley's Δr-functions when r is large. Michigan Math. Journal (to appear). Zbl0591.10039
- [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] R.R. Hall and G. Tenenbaum: The average orders of Hooley's Δ r-functions. Mathematika31 (1984) 98-109. Zbl0552.10027
- [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] H. Maier and G. Tenenbaum: On the set of divisors of an integer. Invent. Math.76 (1984) 121-128. Zbl0536.10039MR739628
- [8] H. Maier and G. Tenenbaum: On the normal concentration of divisors. J. London Math. Soc. (to appear). Zbl0576.10034
- [9] G. Tenenbaum: Sur la concentration moyenne des diviseurs. Comment. Math. Helvitici (to appear). Zbl0581.10020MR814148