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arXiv · 2406.08565

A New Elementary Proof of Landau's Prime Ideal Theorem, and Associated Results

Alex Burgin
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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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Alex Burgin. 2024-06-12. A New Elementary Proof of Landau's Prime Ideal Theorem, and Associated Results. https://doi.org/10.1007/s40993-025-00617-x

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