Jordan's Totient Function - Examples

Examples

Explicit lists in the OEIS are J2 in  A007434, J3 in  A059376, J4 in  A059377, J5 in  A059378, J6 up to J10 in  A069091 up to  A069095.


Multiplicative functions defined by ratios are J2(n)/J1(n) in  A001615, J3(n)/J1(n) in  A160889, J4(n)/J1(n) in  A160891, J5(n)/J1(n) in  A160893, J6(n)/J1(n) in  A160895, J7(n)/J1(n) in  A160897, J8(n)/J1(n) in  A160908, J9(n)/J1(n) in  A160953, J10(n)/J1(n) in  A160957, J11(n)/J1(n) in  A160960.


Examples of the ratios J2k(n)/Jk(n) are J4(n)/J2(n) in  A065958, J6(n)/J3(n) in  A065959, and J8(n)/J4(n) in  A065960.

Read more about this topic:  Jordan's Totient Function

Famous quotes containing the word examples:

    In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.
    Michel de Montaigne (1533–1592)

    Histories are more full of examples of the fidelity of dogs than of friends.
    Alexander Pope (1688–1744)

    No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.
    André Breton (1896–1966)