The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Further Applications of the Identical Equation to Ramanujan's Sum CM (N) and Kronecker's Function ρ(M,N)


Affiliations
1 Trivandrum, India
     

   Subscribe/Renew Journal


In a recent paper(1) the author has shown that every multiplicative function F(M, N) of two arguments satis les an 'identical equation' of the form

F(M,N) = F(M,I)F(I,N). C(M,N)

=Σd/Md Σδ/N F(M/d, I) F(I, N/δ) C(d, δ), (A)


Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 159

PDF Views: 0




  • Further Applications of the Identical Equation to Ramanujan's Sum CM (N) and Kronecker's Function ρ(M,N)

Abstract Views: 159  |  PDF Views: 0

Authors

G. S. Venkataraman
Trivandrum, India

Abstract


In a recent paper(1) the author has shown that every multiplicative function F(M, N) of two arguments satis les an 'identical equation' of the form

F(M,N) = F(M,I)F(I,N). C(M,N)

=Σd/Md Σδ/N F(M/d, I) F(I, N/δ) C(d, δ), (A)