Primes in Tuples of Linear Forms in Number Fields and Function Fields
Number Theory
2024-09-10 v1
Abstract
Following the work of Castillo-Hall-Oliver-Pollack-Thompson who extended Maynard-Tao theorem on admissible tuples to number fields and function fields for tuples with monic linear forms, here we obtain the Maynard-Tao theorem for admissible tuples of linear forms with arbitrary leading coefficients in number fields and function fields. Also, we provide some applications of our results.
Cite
@article{arxiv.2409.04705,
title = {Primes in Tuples of Linear Forms in Number Fields and Function Fields},
author = {Habibur Rahaman},
journal= {arXiv preprint arXiv:2409.04705},
year = {2024}
}
Comments
15 pages