On Summatory Totient Functions
Leonid G. Fel

TL;DR
This paper establishes bounds for the leading term of summatory totient functions involving powers of integers and the totient function, across different parameter ranges.
Contribution
It provides new bounds for the summatory totient function with powers, extending understanding in number theory.
Findings
Derived bounds for summatory totient functions in various parameter ranges
Extended previous results to more general power cases
Enhanced understanding of the asymptotic behavior of totient sums
Abstract
The lower and upper bounds are found for the leading term of summatory totient function in various ranges of and .
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Mathematical Identities · Graph theory and applications
