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On a New Class of Convolutions and Euler Products


Affiliations
1 TC 14/684, Nandavanam, Trivandrum-69S 033, India
2 Department of Mathematics, Sri Venkateswara University, Tirupati-517 502, India
3 EPSILON, 32/111 Kunnath Lane, Trichur-680001, India
     

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Let N be the set of aH natural numbers and Rp the set of all (positive) rational primes. To every n ∈ N, we associate a set A(n) ⊆ D(n), the set of all (positive) divisors of n such that the following conditions (1.1) to (1.7) are satisfied.
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  • On a New Class of Convolutions and Euler Products

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Authors

A. C. Vasu
TC 14/684, Nandavanam, Trivandrum-69S 033, India
V. V. Subrahmanya Sastri
Department of Mathematics, Sri Venkateswara University, Tirupati-517 502, India
C. S. Venkataraman
EPSILON, 32/111 Kunnath Lane, Trichur-680001, India

Abstract


Let N be the set of aH natural numbers and Rp the set of all (positive) rational primes. To every n ∈ N, we associate a set A(n) ⊆ D(n), the set of all (positive) divisors of n such that the following conditions (1.1) to (1.7) are satisfied.