论文标题

关于渐近良好扩展的注释,其中无限许多素数完全分裂

A note on asymptotically good extensions in which infinitely many primes split completely

论文作者

Hamza, Oussama, Maire, Christian

论文摘要

令P为素数,然后k为一个数字字段。对于p = 2,假设k完全虚构。在本说明中,我们证明存在渐近良好的扩展l {k的共同学维度2,其中无限的许多素数完全分裂。我们的结果灵感来自Hajir,Maire和Ramakrishna [7]。

Let p be a prime number, and let K be a number field. For p=2, assume moreover K totally imaginary. In this note we prove the existence of asymptotically good extensions L{K of cohomological dimension 2 in which infinitely many primes split completely. Our result is inspired by a recent work of Hajir, Maire, and Ramakrishna [7].

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