It is known that quadratic functions satisfy the Busche-Ramanujan identities with . In fact, quadratic functions are exactly the same as specially multiplicative functions. Totients satisfy a restricted Busche-Ramanujan identity. For further details, see R. Vaidyanathaswamy (1931).
It is known that quadratic functions satisfy the Busche-Ramanujan identities with  In fact quadratic functions are exactly the same as specially multiplicative functions Totients satisfy a restricted Busche-Ramanujan identity For further details see R Vaidyanathaswamy (1931)