A New Elementary Proof of Landau's Prime Ideal Theorem, and Associated Results
arXiv:2406.08565 · doi:10.1007/s40993-025-00617-x
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.
Some more minor revisions incorporated; to appear in Research in Number Theory