The average order of certain types of arithmetical functions: Generalized k-free numbers and totient points

Monatshefte für Mathematik ◽

10.1007/bf01361538 ◽

1960 ◽

Vol 64 (3) ◽

pp. 251-262 ◽

Cited By ~ 1

Author(s):

Eckford Cohen

Keyword(s):

Average Order ◽

Arithmetical Functions

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Functional Equations With Multiple Gamma Factors and the Average Order of Arithmetical Functions

Annals of Mathematics ◽

10.2307/1970267 ◽

1962 ◽

Vol 76 (1) ◽

pp. 93 ◽

Cited By ~ 87

Author(s):

K. Chandrasekharan ◽

Raghavan Narasimhan

Keyword(s):

Functional Equations ◽

Average Order ◽

Arithmetical Functions

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On an integral connected with the average order of a class of arithmetical functions

Journal of Number Theory ◽

10.1016/0022-314x(72)90037-6 ◽

1972 ◽

Vol 4 (5) ◽

pp. 463-468 ◽

Cited By ~ 7

Author(s):

J Steinig

Keyword(s):

Average Order ◽

Arithmetical Functions

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On the average order of a class of arithmetical functions, II

Journal of Number Theory ◽

10.1016/0022-314x(71)90003-5 ◽

1971 ◽

Vol 3 (3) ◽

pp. 288-305 ◽

Cited By ~ 9

Author(s):

Bruce C. Berndt

Keyword(s):

Average Order ◽

Arithmetical Functions

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The Average Order of the Arithmetical Functions P(x ) and δ(x )

Proceedings of the London Mathematical Society ◽

10.1112/plms/s2-15.1.192 ◽

1917 ◽

Vol s2-15 (1) ◽

pp. 192-213 ◽

Cited By ~ 6

Author(s):

G. H. Hardy

Keyword(s):

Average Order ◽

Arithmetical Functions

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The average order of two arithmetical functions

Acta Arithmetica ◽

10.4064/aa-16-1-71-84 ◽

1969 ◽

Vol 16 (1) ◽

pp. 71-84 ◽

Cited By ~ 4

Author(s):

M. Dodson

Keyword(s):

Average Order ◽

Arithmetical Functions

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On the average order of a class of arithmetical functions

Journal of Number Theory ◽

10.1016/0022-314x(82)90082-8 ◽

1982 ◽

Vol 15 (1) ◽

pp. 36-76 ◽

Cited By ~ 22

Author(s):

James Lee Hafner

Keyword(s):

Average Order ◽

Arithmetical Functions

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On the average order of a class of arithmetical functions, I

Journal of Number Theory ◽

10.1016/0022-314x(71)90036-9 ◽

1971 ◽

Vol 3 (2) ◽

pp. 184-203 ◽

Cited By ~ 10

Author(s):

Bruce C. Berndt

Keyword(s):

Average Order ◽

Arithmetical Functions

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On the average order of some arithmetical functions

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1970-12585-x ◽

1970 ◽

Vol 76 (4) ◽

pp. 856-860 ◽

Cited By ~ 4

Author(s):

Bruce C. Berndt

Keyword(s):

Average Order ◽

Arithmetical Functions

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Hecke's functional equation and the average order of arithmetical functions

Acta Arithmetica ◽

10.4064/aa-6-4-487-503 ◽

1961 ◽

Vol 6 (4) ◽

pp. 487-503 ◽

Cited By ~ 13

Author(s):

K Chandrasekharan ◽

Raghavan Narasimhan

Keyword(s):

Functional Equation ◽

Average Order ◽

Arithmetical Functions

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On the average order of ideal functions and other arithmetical functions

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1970-12634-9 ◽

1970 ◽

Vol 76 (6) ◽

pp. 1270-1275 ◽

Cited By ~ 1

Author(s):

Bruce C. Berndt

Keyword(s):

Average Order ◽

Arithmetical Functions

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