Journal of Integer Sequences, Vol. 24 (2021), Article 21.10.1

Quasi-Injectivity of Some Arithmetic Functions

Prapanpong Pongsriiam
Department of Mathematics
Faculty of Science
Silpakorn University
Nakhon Pathom 73000


Let a and b be positive integers and f an arithmetic function. In this article, we investigate whether or not a certain condition on the value of f implies a = b. For example, if f is the sum of divisors function and f(an) = f(bn) for all positive integers n, then a = b.

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(Concerned with sequences A000010 A000396 A007617.)

Received June 24 2021; revised version received November 8 2021. Published in Journal of Integer Sequences, November 8 2021.

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