Generalized Artin Primitive Root Conjecture
N. A. Carella
TL;DR
This paper presents an asymptotic formula for counting integers with primitive root 2 and extends the Artin primitive root conjecture to composite integers, advancing understanding in number theory.
Contribution
It introduces a generalized conjecture for primitive roots over composite integers and provides an asymptotic formula for such integers with primitive root 2.
Findings
Derived an asymptotic formula for integers with primitive root 2
Proposed a generalized Artin primitive root conjecture for composite integers
Extended classical results to a broader class of integers
Abstract
An asymptotic formula for the number of integers with the primitive root 2, and a generalized Artin primitive root conjecture for composite integers is presented here.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Analytic Number Theory Research · Geometric and Algebraic Topology