The Journal of the Indian Mathematical Society

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


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1 Trivandrum, India
     

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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)


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

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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)