1977•Canadian Mathematical BulletinOpen access

On an Arithmetic Convolution

J. Hanumanthachari

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Abstract

In this paper the congruence (f ∘ g)(n) = 0 (mod n) and the functional equation f ∘ f ∘ … ∘ f = g, are studied, where ∘ is an exponential regular convolution.

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In this paper the congruence (f ∘ g)(n) = 0 (mod n) and the functional equation f ∘ f ∘ … ∘ f = g, are studied, where ∘ is an exponential regular convolution.

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Available abstract

In this paper the congruence (f ∘ g)(n) = 0 (mod n) and the functional equation f ∘ f ∘ … ∘ f = g, are studied, where ∘ is an exponential regular convolution.

Key concepts: Mathematics, Convolution (computer science), Congruence (geometry), Arithmetic, Exponential function, Convolution power, Pure mathematics, Algebra over a field

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