数域和函数域中线性形式元组中的素数

arXiv - MATH - Number Theory Pub Date : 2024-09-07 DOI:arxiv-2409.04705

Habibur Rahaman

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引用次数: 0

摘要

卡斯蒂略-霍尔-奥利弗-波拉克-汤普森（Castillo-Hall-Oliver-Pollack-Thompson）将梅纳德-陶（Maynard-Tao）可容许元组定理推广到了数域和函数域中的一元线性形式的元组，在此，我们得到了数域和函数域中具有任意前导系数的线性形式的可容许元组的梅纳德-陶定理。此外，我们还提供了一些结果的应用。

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

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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arXiv - MATH - Number Theory

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