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

• Autorzy: Claudia Spiro-Silverman
• Języki publikacji: EN

Kategorie tematyczne

• 11N25: Distribution of integers with specified multiplicative constraints

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1994
• Tom: 68
• Numer: 4
• Strony: 307-339

Daty

wydano

1994

otrzymano

1993-04-30

poprawiono

1993-12-27

Twórcy

autor

Claudia Spiro-Silverman

• Pob 7445, Nashua, New Hampshire 03060-7445, U.S.A.

Bibliografia

• [ER] P. Erdős, Über die kleinste quadratfreie Zahl einer arithmetischen Reihe, Monatsh. Math. 64 (1960), 314-316.
• [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.
• [HW] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 4th ed., reprinted with corrections, Clarendon Press, Oxford, 1968.
• [NO1] K. K. Norton, Estimates for partial sums of the exponential series, J. Math. Anal. Appl. 63 (1978), 265-296.
• [NO2] K. K. Norton, On the number of restricted prime factors of an integer. II, Acta Math. 143 (1979), 9-38.
• [SE] A. Selberg, Note on a problem of L. G. Sathe, J. Indian Math. Soc. (N.S.) (1954), 83-87.
• [SP1] C. Spiro, How often is the number of divisors of n a divisor of n?, J. Number Theory 21 (1985), 81-100.
• [SP2] C. Spiro, An iteration problem involving the divisor function, Acta Arith. 46 (1986), 215-225.
• [SP3] C. Spiro, Extensions of some formula of A. SelbergPSHIRE 03060-7445 U.S.A.