# Arithmetic Functions Associated with Exponentially Odd and Exponentially Even Integers

## Annual Meeting in Mathematics 2023

## Keywords:

exponentially odd integer, exponentially even integer, unitary convolution## Abstract

An exponentially even integer is a positive integer whose prime factorization contains only even prime powers, while an exponentially odd integer is a positive integer whose prime factorization contains only odd prime powers. We investigate here the problem of counting the number of positive integers that are semi-prime to an exponentially even integer, and to an exponentially odd integer. Basic properties of the functions involved are established.

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## Published

## How to Cite

*Thai Journal of Mathematics*,

*22*(1), 217–225. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1611