An induction property for prime counting functions
Andrew O'Desky
TL;DR
This paper presents an elementary proof of an asymptotic formula for prime counting functions and offers a new reduction of Chebotar"ev's density theorem proof to the cyclic case.
Contribution
It introduces a novel elementary proof technique for prime counting asymptotics and simplifies Chebotar"ev's density theorem proof in the cyclic case.
Findings
Elementary proof of prime counting asymptotics
Reduction of Chebotar"ev's theorem to cyclic case
Simplified approach to prime distribution analysis
Abstract
We provide an elementary proof of an asymptotic formula for prime counting functions. As a minor application we give a new reduction of the proof of Chebotar\"ev's density theorem to the cyclic case.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Analytic Number Theory Research · Meromorphic and Entire Functions