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Quasi-Injectivity of Some Arithmetic Functions
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Prapanpong Pongsriiam

Department of Mathematics

Faculty of Science

Silpakorn University

Nakhon Pathom 73000

Thailand

**Abstract:**

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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