Year: 2014
Type: preprint
Abstract: Consider exponential Carmichael function $λ^{(e)}$ such that $λ^{(e)}$ is multiplicative and $λ^{(e)}(p^a) = λ(a)$, where $λ$ is usual Carmichael function. We discuss the value of $\sum λ^{(e)}(n)$, where $n$ runs over certain subsets of $[1,x]$, and provide bounds on the error term, using analytic methods and especially estimates of $\int_1^T \bigl| ζ(σ+it) \bigr|^m dt$.
Source: arXiv (Cornell University)
Author: Lelechenko, Andrew V.
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2231657296