A New Elementary Proof of Landau's Prime Ideal Theorem, and Associated Results
Alex Burgin
TL;DR
This paper presents a new elementary proof of Landau's Prime Ideal Theorem, extending Richter's approach for the Prime Number Theorem, and discusses related results on the distribution of prime ideals.
Contribution
It introduces a novel elementary proof of Landau's Prime Ideal Theorem, expanding upon Richter's method for prime number distribution.
Findings
Elementary proof of Landau's Prime Ideal Theorem
Results on equidistribution of prime ideal counting function
Extension of Richter's proof technique
Abstract
We give a new elementary proof of Landau's Prime Ideal Theorem. The proof is an extension of Richter's proof of the Prime Number Theorem. The main result contains other results related to the equidistribution of the prime ideal counting function.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Analytic Number Theory Research · Mathematics and Applications