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arXiv · 2409.04705

Primes in Tuples of Linear Forms in Number Fields and Function Fields

Habibur Rahaman
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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.

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Habibur Rahaman. 2024-09-07. Primes in Tuples of Linear Forms in Number Fields and Function Fields. https://arxiv.org/abs/2409.04705

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