Divisibility of the κ-fold iterated divisor function of n into n

Claudia Spiro-Silverman

Acta Arithmetica (1994)

  • Volume: 68, Issue: 4, page 307-339
  • ISSN: 0065-1036

How to cite


Claudia Spiro-Silverman. "Divisibility of the κ-fold iterated divisor function of n into n." Acta Arithmetica 68.4 (1994): 307-339. <http://eudml.org/doc/206664>.

author = {Claudia Spiro-Silverman},
journal = {Acta Arithmetica},
keywords = {divisibility; iterated divisor function; upper and lower bounds},
language = {eng},
number = {4},
pages = {307-339},
title = {Divisibility of the κ-fold iterated divisor function of n into n},
url = {http://eudml.org/doc/206664},
volume = {68},
year = {1994},

AU - Claudia Spiro-Silverman
TI - Divisibility of the κ-fold iterated divisor function of n into n
JO - Acta Arithmetica
PY - 1994
VL - 68
IS - 4
SP - 307
EP - 339
LA - eng
KW - divisibility; iterated divisor function; upper and lower bounds
UR - http://eudml.org/doc/206664
ER -


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  2. [ES] P. Erdős und G. Szekeres, Über die Anzahl der Abelschen Gruppen gegebener Ordnung und über ein verwandtes zahlentheoretisches Problem, Acta Univ. Szeged. 7 (1934-35), 95-102. Zbl60.0893.02
  3. [HW] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 4th ed., reprinted with corrections, Clarendon Press, Oxford, 1968. 
  4. [NO1] K. K. Norton, Estimates for partial sums of the exponential series, J. Math. Anal. Appl. 63 (1978), 265-296. Zbl0385.41023
  5. [NO2] K. K. Norton, On the number of restricted prime factors of an integer. II, Acta Math. 143 (1979), 9-38. 
  6. [SE] A. Selberg, Note on a problem of L. G. Sathe, J. Indian Math. Soc. (N.S.) (1954), 83-87. 
  7. [SP1] C. Spiro, How often is the number of divisors of n a divisor of n?, J. Number Theory 21 (1985), 81-100. Zbl0568.10021
  8. [SP2] C. Spiro, An iteration problem involving the divisor function, Acta Arith. 46 (1986), 215-225. Zbl0602.10036
  9. [SP3] C. Spiro, Extensions of some formula of A. SelbergPSHIRE 03060-7445 U.S.A. 

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